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Simplifying 7 = 3(p + -5) + 8 Reorder the terms: 7 = 3(-5 + p) + 8 7 = (-5 * 3 + p * 3) + 8 7 = (-15 + 3p) + 8 Reorder the terms: 7 = -15 + 8 + 3p Combine like terms: -15 + 8 = -7 7 = -7 + 3p Solving 7 = -7 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. 7 + -3p = -7 + 3p + -3p Combine like terms: 3p + -3p = 0 7 + -3p = -7 + 0 7 + -3p = -7 Add '-7' to each side of the equation. 7 + -7 + -3p = -7 + -7 Combine like terms: 7 + -7 = 0 0 + -3p = -7 + -7 -3p = -7 + -7 Combine like terms: -7 + -7 = -14 -3p = -14 Divide each side by '-3'. p = 4.666666667 Simplifying p = 4.666666667
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