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Simplifying 5 + -1(p + 2) = 2(2p + -15) + p Reorder the terms: 5 + -1(2 + p) = 2(2p + -15) + p 5 + (2 * -1 + p * -1) = 2(2p + -15) + p 5 + (-2 + -1p) = 2(2p + -15) + p Combine like terms: 5 + -2 = 3 3 + -1p = 2(2p + -15) + p Reorder the terms: 3 + -1p = 2(-15 + 2p) + p 3 + -1p = (-15 * 2 + 2p * 2) + p 3 + -1p = (-30 + 4p) + p Combine like terms: 4p + p = 5p 3 + -1p = -30 + 5p Solving 3 + -1p = -30 + 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. 3 + -1p + -5p = -30 + 5p + -5p Combine like terms: -1p + -5p = -6p 3 + -6p = -30 + 5p + -5p Combine like terms: 5p + -5p = 0 3 + -6p = -30 + 0 3 + -6p = -30 Add '-3' to each side of the equation. 3 + -3 + -6p = -30 + -3 Combine like terms: 3 + -3 = 0 0 + -6p = -30 + -3 -6p = -30 + -3 Combine like terms: -30 + -3 = -33 -6p = -33 Divide each side by '-6'. p = 5.5 Simplifying p = 5.5
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