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Simplifying 5p + -2(3 + -2p) = 5(p + -3) + -3 5p + (3 * -2 + -2p * -2) = 5(p + -3) + -3 5p + (-6 + 4p) = 5(p + -3) + -3 Reorder the terms: -6 + 5p + 4p = 5(p + -3) + -3 Combine like terms: 5p + 4p = 9p -6 + 9p = 5(p + -3) + -3 Reorder the terms: -6 + 9p = 5(-3 + p) + -3 -6 + 9p = (-3 * 5 + p * 5) + -3 -6 + 9p = (-15 + 5p) + -3 Reorder the terms: -6 + 9p = -15 + -3 + 5p Combine like terms: -15 + -3 = -18 -6 + 9p = -18 + 5p Solving -6 + 9p = -18 + 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. -6 + 9p + -5p = -18 + 5p + -5p Combine like terms: 9p + -5p = 4p -6 + 4p = -18 + 5p + -5p Combine like terms: 5p + -5p = 0 -6 + 4p = -18 + 0 -6 + 4p = -18 Add '6' to each side of the equation. -6 + 6 + 4p = -18 + 6 Combine like terms: -6 + 6 = 0 0 + 4p = -18 + 6 4p = -18 + 6 Combine like terms: -18 + 6 = -12 4p = -12 Divide each side by '4'. p = -3 Simplifying p = -3
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