Step by step solution to "Solve the equation. Express numbers as integers or..."

Burhan Hopper

Answered question

2021-09-15

Solve the equation. Express numbers as integers or simplified fractions.

2 - 4 (4 z - 1) = - 1

Laaibah Pitt

Skilled2021-09-16Added 98 answers

Step 1
Given:

2 - 4 (4 z - 1) = - 1

Step 2
Appling BODMAS,

\Rightarrow 2 - 4 (4 z - 1) = - 1

\Rightarrow 2 - 16 z + 4 = - 1

\Rightarrow 6 - 16 z = - 1

\Rightarrow 6 - 16 z - 6 = - 1 - 6

(substracting 6 both sides)
Step 3
Next,

\Rightarrow 6 - 16 z - 6 = - 1 - 6

(subtracting 6 both sides)

\Rightarrow - 16 z = - 7

\Rightarrow - 16 z \cdot (- 1) = - 7 \cdot (- 1)

(multiplying -1 on both side)

\Rightarrow 16 z = 7

\Rightarrow \frac{16 z}{16} = \frac{7}{16}

(Dividing by 16)

\Rightarrow z = \frac{7}{16}

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