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Simplifying -5(p + -3) + 20 = 2p + -21 Reorder the terms: -5(-3 + p) + 20 = 2p + -21 (-3 * -5 + p * -5) + 20 = 2p + -21 (15 + -5p) + 20 = 2p + -21 Reorder the terms: 15 + 20 + -5p = 2p + -21 Combine like terms: 15 + 20 = 35 35 + -5p = 2p + -21 Reorder the terms: 35 + -5p = -21 + 2p Solving 35 + -5p = -21 + 2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. 35 + -5p + -2p = -21 + 2p + -2p Combine like terms: -5p + -2p = -7p 35 + -7p = -21 + 2p + -2p Combine like terms: 2p + -2p = 0 35 + -7p = -21 + 0 35 + -7p = -21 Add '-35' to each side of the equation. 35 + -35 + -7p = -21 + -35 Combine like terms: 35 + -35 = 0 0 + -7p = -21 + -35 -7p = -21 + -35 Combine like terms: -21 + -35 = -56 -7p = -56 Divide each side by '-7'. p = 8 Simplifying p = 8
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