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Simplifying 3p + -1 = 5(p + -1) + -2(7 + -2) * p Reorder the terms: -1 + 3p = 5(p + -1) + -2(7 + -2) * p Reorder the terms: -1 + 3p = 5(-1 + p) + -2(7 + -2) * p -1 + 3p = (-1 * 5 + p * 5) + -2(7 + -2) * p -1 + 3p = (-5 + 5p) + -2(7 + -2) * p Combine like terms: 7 + -2 = 5 -1 + 3p = -5 + 5p + -2(5) * p Multiply -2 * 5 -1 + 3p = -5 + 5p + -10p Combine like terms: 5p + -10p = -5p -1 + 3p = -5 + -5p Solving -1 + 3p = -5 + -5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '5p' to each side of the equation. -1 + 3p + 5p = -5 + -5p + 5p Combine like terms: 3p + 5p = 8p -1 + 8p = -5 + -5p + 5p Combine like terms: -5p + 5p = 0 -1 + 8p = -5 + 0 -1 + 8p = -5 Add '1' to each side of the equation. -1 + 1 + 8p = -5 + 1 Combine like terms: -1 + 1 = 0 0 + 8p = -5 + 1 8p = -5 + 1 Combine like terms: -5 + 1 = -4 8p = -4 Divide each side by '8'. p = -0.5 Simplifying p = -0.5
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