6(z+8)=-10z+15z+4

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Solution for 6(z+8)=-10z+15z+4 equation:


Simplifying
6(z + 8) = -10z + 15z + 4

Reorder the terms:
6(8 + z) = -10z + 15z + 4
(8 * 6 + z * 6) = -10z + 15z + 4
(48 + 6z) = -10z + 15z + 4

Reorder the terms:
48 + 6z = 4 + -10z + 15z

Combine like terms: -10z + 15z = 5z
48 + 6z = 4 + 5z

Solving
48 + 6z = 4 + 5z

Solving for variable 'z'.

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

Add '-5z' to each side of the equation.
48 + 6z + -5z = 4 + 5z + -5z

Combine like terms: 6z + -5z = 1z
48 + 1z = 4 + 5z + -5z

Combine like terms: 5z + -5z = 0
48 + 1z = 4 + 0
48 + 1z = 4

Add '-48' to each side of the equation.
48 + -48 + 1z = 4 + -48

Combine like terms: 48 + -48 = 0
0 + 1z = 4 + -48
1z = 4 + -48

Combine like terms: 4 + -48 = -44
1z = -44

Divide each side by '1'.
z = -44

Simplifying
z = -44

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