2.9(z+0.5)=-2.9(z-16)

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Solution for 2.9(z+0.5)=-2.9(z-16) equation: 


Simplifying
2.9(z + 0.5) = -2.9(z + -16)

Reorder the terms:
2.9(0.5 + z) = -2.9(z + -16)
(0.5 * 2.9 + z * 2.9) = -2.9(z + -16)
(1.45 + 2.9z) = -2.9(z + -16)

Reorder the terms:
1.45 + 2.9z = -2.9(-16 + z)
1.45 + 2.9z = (-16 * -2.9 + z * -2.9)
1.45 + 2.9z = (46.4 + -2.9z)

Solving
1.45 + 2.9z = 46.4 + -2.9z

Solving for variable 'z'.

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

Add '2.9z' to each side of the equation.
1.45 + 2.9z + 2.9z = 46.4 + -2.9z + 2.9z

Combine like terms: 2.9z + 2.9z = 5.8z
1.45 + 5.8z = 46.4 + -2.9z + 2.9z

Combine like terms: -2.9z + 2.9z = 0.0
1.45 + 5.8z = 46.4 + 0.0
1.45 + 5.8z = 46.4

Add '-1.45' to each side of the equation.
1.45 + -1.45 + 5.8z = 46.4 + -1.45

Combine like terms: 1.45 + -1.45 = 0.00
0.00 + 5.8z = 46.4 + -1.45
5.8z = 46.4 + -1.45

Combine like terms: 46.4 + -1.45 = 44.95
5.8z = 44.95

Divide each side by '5.8'.
z = 7.75

Simplifying
z = 7.75

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