-7+4(2z+1)=4(9z+5)-7

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Solution for -7+4(2z+1)=4(9z+5)-7 equation:


Simplifying
-7 + 4(2z + 1) = 4(9z + 5) + -7

Reorder the terms:
-7 + 4(1 + 2z) = 4(9z + 5) + -7
-7 + (1 * 4 + 2z * 4) = 4(9z + 5) + -7
-7 + (4 + 8z) = 4(9z + 5) + -7

Combine like terms: -7 + 4 = -3
-3 + 8z = 4(9z + 5) + -7

Reorder the terms:
-3 + 8z = 4(5 + 9z) + -7
-3 + 8z = (5 * 4 + 9z * 4) + -7
-3 + 8z = (20 + 36z) + -7

Reorder the terms:
-3 + 8z = 20 + -7 + 36z

Combine like terms: 20 + -7 = 13
-3 + 8z = 13 + 36z

Solving
-3 + 8z = 13 + 36z

Solving for variable 'z'.

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

Add '-36z' to each side of the equation.
-3 + 8z + -36z = 13 + 36z + -36z

Combine like terms: 8z + -36z = -28z
-3 + -28z = 13 + 36z + -36z

Combine like terms: 36z + -36z = 0
-3 + -28z = 13 + 0
-3 + -28z = 13

Add '3' to each side of the equation.
-3 + 3 + -28z = 13 + 3

Combine like terms: -3 + 3 = 0
0 + -28z = 13 + 3
-28z = 13 + 3

Combine like terms: 13 + 3 = 16
-28z = 16

Divide each side by '-28'.
z = -0.5714285714

Simplifying
z = -0.5714285714

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