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Simplifying 3p + -2(5 + -3p) = 5(p + -2) + -36 3p + (5 * -2 + -3p * -2) = 5(p + -2) + -36 3p + (-10 + 6p) = 5(p + -2) + -36 Reorder the terms: -10 + 3p + 6p = 5(p + -2) + -36 Combine like terms: 3p + 6p = 9p -10 + 9p = 5(p + -2) + -36 Reorder the terms: -10 + 9p = 5(-2 + p) + -36 -10 + 9p = (-2 * 5 + p * 5) + -36 -10 + 9p = (-10 + 5p) + -36 Reorder the terms: -10 + 9p = -10 + -36 + 5p Combine like terms: -10 + -36 = -46 -10 + 9p = -46 + 5p Solving -10 + 9p = -46 + 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. -10 + 9p + -5p = -46 + 5p + -5p Combine like terms: 9p + -5p = 4p -10 + 4p = -46 + 5p + -5p Combine like terms: 5p + -5p = 0 -10 + 4p = -46 + 0 -10 + 4p = -46 Add '10' to each side of the equation. -10 + 10 + 4p = -46 + 10 Combine like terms: -10 + 10 = 0 0 + 4p = -46 + 10 4p = -46 + 10 Combine like terms: -46 + 10 = -36 4p = -36 Divide each side by '4'. p = -9 Simplifying p = -9
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