-7-2(9z-1)=9(3z-4)4

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Solution for -7-2(9z-1)=9(3z-4)4 equation:


Simplifying
-7 + -2(9z + -1) = 9(3z + -4) * 4

Reorder the terms:
-7 + -2(-1 + 9z) = 9(3z + -4) * 4
-7 + (-1 * -2 + 9z * -2) = 9(3z + -4) * 4
-7 + (2 + -18z) = 9(3z + -4) * 4

Combine like terms: -7 + 2 = -5
-5 + -18z = 9(3z + -4) * 4

Reorder the terms:
-5 + -18z = 9(-4 + 3z) * 4

Reorder the terms for easier multiplication:
-5 + -18z = 9 * 4(-4 + 3z)

Multiply 9 * 4
-5 + -18z = 36(-4 + 3z)
-5 + -18z = (-4 * 36 + 3z * 36)
-5 + -18z = (-144 + 108z)

Solving
-5 + -18z = -144 + 108z

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '-108z' to each side of the equation.
-5 + -18z + -108z = -144 + 108z + -108z

Combine like terms: -18z + -108z = -126z
-5 + -126z = -144 + 108z + -108z

Combine like terms: 108z + -108z = 0
-5 + -126z = -144 + 0
-5 + -126z = -144

Add '5' to each side of the equation.
-5 + 5 + -126z = -144 + 5

Combine like terms: -5 + 5 = 0
0 + -126z = -144 + 5
-126z = -144 + 5

Combine like terms: -144 + 5 = -139
-126z = -139

Divide each side by '-126'.
z = 1.103174603

Simplifying
z = 1.103174603

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