2+3(6z+2)=-7(-6z-4)-1

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Solution for 2+3(6z+2)=-7(-6z-4)-1 equation:


Simplifying
2 + 3(6z + 2) = -7(-6z + -4) + -1

Reorder the terms:
2 + 3(2 + 6z) = -7(-6z + -4) + -1
2 + (2 * 3 + 6z * 3) = -7(-6z + -4) + -1
2 + (6 + 18z) = -7(-6z + -4) + -1

Combine like terms: 2 + 6 = 8
8 + 18z = -7(-6z + -4) + -1

Reorder the terms:
8 + 18z = -7(-4 + -6z) + -1
8 + 18z = (-4 * -7 + -6z * -7) + -1
8 + 18z = (28 + 42z) + -1

Reorder the terms:
8 + 18z = 28 + -1 + 42z

Combine like terms: 28 + -1 = 27
8 + 18z = 27 + 42z

Solving
8 + 18z = 27 + 42z

Solving for variable 'z'.

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

Add '-42z' to each side of the equation.
8 + 18z + -42z = 27 + 42z + -42z

Combine like terms: 18z + -42z = -24z
8 + -24z = 27 + 42z + -42z

Combine like terms: 42z + -42z = 0
8 + -24z = 27 + 0
8 + -24z = 27

Add '-8' to each side of the equation.
8 + -8 + -24z = 27 + -8

Combine like terms: 8 + -8 = 0
0 + -24z = 27 + -8
-24z = 27 + -8

Combine like terms: 27 + -8 = 19
-24z = 19

Divide each side by '-24'.
z = -0.7916666667

Simplifying
z = -0.7916666667

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