158=8-5(3P-6)

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Solution for 158=8-5(3P-6) equation:


Simplifying
158 = 8 + -5(3P + -6)

Reorder the terms:
158 = 8 + -5(-6 + 3P)
158 = 8 + (-6 * -5 + 3P * -5)
158 = 8 + (30 + -15P)

Combine like terms: 8 + 30 = 38
158 = 38 + -15P

Solving
158 = 38 + -15P

Solving for variable 'P'.

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

Add '15P' to each side of the equation.
158 + 15P = 38 + -15P + 15P

Combine like terms: -15P + 15P = 0
158 + 15P = 38 + 0
158 + 15P = 38

Add '-158' to each side of the equation.
158 + -158 + 15P = 38 + -158

Combine like terms: 158 + -158 = 0
0 + 15P = 38 + -158
15P = 38 + -158

Combine like terms: 38 + -158 = -120
15P = -120

Divide each side by '15'.
P = -8

Simplifying
P = -8

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