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Simplifying 2p + -3(5 + -2p) = 5(p + -3) + -21 2p + (5 * -3 + -2p * -3) = 5(p + -3) + -21 2p + (-15 + 6p) = 5(p + -3) + -21 Reorder the terms: -15 + 2p + 6p = 5(p + -3) + -21 Combine like terms: 2p + 6p = 8p -15 + 8p = 5(p + -3) + -21 Reorder the terms: -15 + 8p = 5(-3 + p) + -21 -15 + 8p = (-3 * 5 + p * 5) + -21 -15 + 8p = (-15 + 5p) + -21 Reorder the terms: -15 + 8p = -15 + -21 + 5p Combine like terms: -15 + -21 = -36 -15 + 8p = -36 + 5p Solving -15 + 8p = -36 + 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. -15 + 8p + -5p = -36 + 5p + -5p Combine like terms: 8p + -5p = 3p -15 + 3p = -36 + 5p + -5p Combine like terms: 5p + -5p = 0 -15 + 3p = -36 + 0 -15 + 3p = -36 Add '15' to each side of the equation. -15 + 15 + 3p = -36 + 15 Combine like terms: -15 + 15 = 0 0 + 3p = -36 + 15 3p = -36 + 15 Combine like terms: -36 + 15 = -21 3p = -21 Divide each side by '3'. p = -7 Simplifying p = -7
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