24.5=-5.5(7.5z+7)

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Solution for 24.5=-5.5(7.5z+7) equation:


Simplifying
24.5 = -5.5(7.5z + 7)

Reorder the terms:
24.5 = -5.5(7 + 7.5z)
24.5 = (7 * -5.5 + 7.5z * -5.5)
24.5 = (-38.5 + -41.25z)

Solving
24.5 = -38.5 + -41.25z

Solving for variable 'z'.

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

Add '41.25z' to each side of the equation.
24.5 + 41.25z = -38.5 + -41.25z + 41.25z

Combine like terms: -41.25z + 41.25z = 0.00
24.5 + 41.25z = -38.5 + 0.00
24.5 + 41.25z = -38.5

Add '-24.5' to each side of the equation.
24.5 + -24.5 + 41.25z = -38.5 + -24.5

Combine like terms: 24.5 + -24.5 = 0.0
0.0 + 41.25z = -38.5 + -24.5
41.25z = -38.5 + -24.5

Combine like terms: -38.5 + -24.5 = -63
41.25z = -63

Divide each side by '41.25'.
z = -1.527272727

Simplifying
z = -1.527272727

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