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Simplifying -3p + -8 = -9(-6p + -10) + -8(-7 + 7P) Reorder the terms: -8 + -3p = -9(-6p + -10) + -8(-7 + 7P) Reorder the terms: -8 + -3p = -9(-10 + -6p) + -8(-7 + 7P) -8 + -3p = (-10 * -9 + -6p * -9) + -8(-7 + 7P) -8 + -3p = (90 + 54p) + -8(-7 + 7P) -8 + -3p = 90 + 54p + (-7 * -8 + 7P * -8) -8 + -3p = 90 + 54p + (56 + -56P) Reorder the terms: -8 + -3p = 90 + 56 + -56P + 54p Combine like terms: 90 + 56 = 146 -8 + -3p = 146 + -56P + 54p Solving -8 + -3p = 146 + -56P + 54p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-54p' to each side of the equation. -8 + -3p + -54p = 146 + -56P + 54p + -54p Combine like terms: -3p + -54p = -57p -8 + -57p = 146 + -56P + 54p + -54p Combine like terms: 54p + -54p = 0 -8 + -57p = 146 + -56P + 0 -8 + -57p = 146 + -56P Add '8' to each side of the equation. -8 + 8 + -57p = 146 + 8 + -56P Combine like terms: -8 + 8 = 0 0 + -57p = 146 + 8 + -56P -57p = 146 + 8 + -56P Combine like terms: 146 + 8 = 154 -57p = 154 + -56P Divide each side by '-57'. p = -2.701754386 + 0.9824561404P Simplifying p = -2.701754386 + 0.9824561404P
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