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Simplifying 5p + -3 = 8(p + -1) + 7p Reorder the terms: -3 + 5p = 8(p + -1) + 7p Reorder the terms: -3 + 5p = 8(-1 + p) + 7p -3 + 5p = (-1 * 8 + p * 8) + 7p -3 + 5p = (-8 + 8p) + 7p Combine like terms: 8p + 7p = 15p -3 + 5p = -8 + 15p Solving -3 + 5p = -8 + 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. -3 + 5p + -15p = -8 + 15p + -15p Combine like terms: 5p + -15p = -10p -3 + -10p = -8 + 15p + -15p Combine like terms: 15p + -15p = 0 -3 + -10p = -8 + 0 -3 + -10p = -8 Add '3' to each side of the equation. -3 + 3 + -10p = -8 + 3 Combine like terms: -3 + 3 = 0 0 + -10p = -8 + 3 -10p = -8 + 3 Combine like terms: -8 + 3 = -5 -10p = -5 Divide each side by '-10'. p = 0.5 Simplifying p = 0.5
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