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Simplifying -102 = 7(p + -8) + -4 Reorder the terms: -102 = 7(-8 + p) + -4 -102 = (-8 * 7 + p * 7) + -4 -102 = (-56 + 7p) + -4 Reorder the terms: -102 = -56 + -4 + 7p Combine like terms: -56 + -4 = -60 -102 = -60 + 7p Solving -102 = -60 + 7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7p' to each side of the equation. -102 + -7p = -60 + 7p + -7p Combine like terms: 7p + -7p = 0 -102 + -7p = -60 + 0 -102 + -7p = -60 Add '102' to each side of the equation. -102 + 102 + -7p = -60 + 102 Combine like terms: -102 + 102 = 0 0 + -7p = -60 + 102 -7p = -60 + 102 Combine like terms: -60 + 102 = 42 -7p = 42 Divide each side by '-7'. p = -6 Simplifying p = -6
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