-16(z+3)+5(4z-4)=3(z-6)+10

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Solution for -16(z+3)+5(4z-4)=3(z-6)+10 equation:


Simplifying
-16(z + 3) + 5(4z + -4) = 3(z + -6) + 10

Reorder the terms:
-16(3 + z) + 5(4z + -4) = 3(z + -6) + 10
(3 * -16 + z * -16) + 5(4z + -4) = 3(z + -6) + 10
(-48 + -16z) + 5(4z + -4) = 3(z + -6) + 10

Reorder the terms:
-48 + -16z + 5(-4 + 4z) = 3(z + -6) + 10
-48 + -16z + (-4 * 5 + 4z * 5) = 3(z + -6) + 10
-48 + -16z + (-20 + 20z) = 3(z + -6) + 10

Reorder the terms:
-48 + -20 + -16z + 20z = 3(z + -6) + 10

Combine like terms: -48 + -20 = -68
-68 + -16z + 20z = 3(z + -6) + 10

Combine like terms: -16z + 20z = 4z
-68 + 4z = 3(z + -6) + 10

Reorder the terms:
-68 + 4z = 3(-6 + z) + 10
-68 + 4z = (-6 * 3 + z * 3) + 10
-68 + 4z = (-18 + 3z) + 10

Reorder the terms:
-68 + 4z = -18 + 10 + 3z

Combine like terms: -18 + 10 = -8
-68 + 4z = -8 + 3z

Solving
-68 + 4z = -8 + 3z

Solving for variable 'z'.

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

Add '-3z' to each side of the equation.
-68 + 4z + -3z = -8 + 3z + -3z

Combine like terms: 4z + -3z = 1z
-68 + 1z = -8 + 3z + -3z

Combine like terms: 3z + -3z = 0
-68 + 1z = -8 + 0
-68 + 1z = -8

Add '68' to each side of the equation.
-68 + 68 + 1z = -8 + 68

Combine like terms: -68 + 68 = 0
0 + 1z = -8 + 68
1z = -8 + 68

Combine like terms: -8 + 68 = 60
1z = 60

Divide each side by '1'.
z = 60

Simplifying
z = 60

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