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Simplifying -7p + 2(5 + 3p) = -15 + 4p -7p + (5 * 2 + 3p * 2) = -15 + 4p -7p + (10 + 6p) = -15 + 4p Reorder the terms: 10 + -7p + 6p = -15 + 4p Combine like terms: -7p + 6p = -1p 10 + -1p = -15 + 4p Solving 10 + -1p = -15 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. 10 + -1p + -4p = -15 + 4p + -4p Combine like terms: -1p + -4p = -5p 10 + -5p = -15 + 4p + -4p Combine like terms: 4p + -4p = 0 10 + -5p = -15 + 0 10 + -5p = -15 Add '-10' to each side of the equation. 10 + -10 + -5p = -15 + -10 Combine like terms: 10 + -10 = 0 0 + -5p = -15 + -10 -5p = -15 + -10 Combine like terms: -15 + -10 = -25 -5p = -25 Divide each side by '-5'. p = 5 Simplifying p = 5
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