15=z+4(2z+3)

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Solution for 15=z+4(2z+3) equation:


Simplifying
15 = z + 4(2z + 3)

Reorder the terms:
15 = z + 4(3 + 2z)
15 = z + (3 * 4 + 2z * 4)
15 = z + (12 + 8z)

Reorder the terms:
15 = 12 + z + 8z

Combine like terms: z + 8z = 9z
15 = 12 + 9z

Solving
15 = 12 + 9z

Solving for variable 'z'.

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

Add '-9z' to each side of the equation.
15 + -9z = 12 + 9z + -9z

Combine like terms: 9z + -9z = 0
15 + -9z = 12 + 0
15 + -9z = 12

Add '-15' to each side of the equation.
15 + -15 + -9z = 12 + -15

Combine like terms: 15 + -15 = 0
0 + -9z = 12 + -15
-9z = 12 + -15

Combine like terms: 12 + -15 = -3
-9z = -3

Divide each side by '-9'.
z = 0.3333333333

Simplifying
z = 0.3333333333

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