-2(z+2)+3(3z-4)=6(z-3)+10

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Solution for -2(z+2)+3(3z-4)=6(z-3)+10 equation:


Simplifying
-2(z + 2) + 3(3z + -4) = 6(z + -3) + 10

Reorder the terms:
-2(2 + z) + 3(3z + -4) = 6(z + -3) + 10
(2 * -2 + z * -2) + 3(3z + -4) = 6(z + -3) + 10
(-4 + -2z) + 3(3z + -4) = 6(z + -3) + 10

Reorder the terms:
-4 + -2z + 3(-4 + 3z) = 6(z + -3) + 10
-4 + -2z + (-4 * 3 + 3z * 3) = 6(z + -3) + 10
-4 + -2z + (-12 + 9z) = 6(z + -3) + 10

Reorder the terms:
-4 + -12 + -2z + 9z = 6(z + -3) + 10

Combine like terms: -4 + -12 = -16
-16 + -2z + 9z = 6(z + -3) + 10

Combine like terms: -2z + 9z = 7z
-16 + 7z = 6(z + -3) + 10

Reorder the terms:
-16 + 7z = 6(-3 + z) + 10
-16 + 7z = (-3 * 6 + z * 6) + 10
-16 + 7z = (-18 + 6z) + 10

Reorder the terms:
-16 + 7z = -18 + 10 + 6z

Combine like terms: -18 + 10 = -8
-16 + 7z = -8 + 6z

Solving
-16 + 7z = -8 + 6z

Solving for variable 'z'.

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

Add '-6z' to each side of the equation.
-16 + 7z + -6z = -8 + 6z + -6z

Combine like terms: 7z + -6z = 1z
-16 + 1z = -8 + 6z + -6z

Combine like terms: 6z + -6z = 0
-16 + 1z = -8 + 0
-16 + 1z = -8

Add '16' to each side of the equation.
-16 + 16 + 1z = -8 + 16

Combine like terms: -16 + 16 = 0
0 + 1z = -8 + 16
1z = -8 + 16

Combine like terms: -8 + 16 = 8
1z = 8

Divide each side by '1'.
z = 8

Simplifying
z = 8

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