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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 = 5 5 + 5p = 2p + -21 Reorder the terms: 5 + 5p = -21 + 2p Solving 5 + 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. 5 + 5p + -2p = -21 + 2p + -2p Combine like terms: 5p + -2p = 3p 5 + 3p = -21 + 2p + -2p Combine like terms: 2p + -2p = 0 5 + 3p = -21 + 0 5 + 3p = -21 Add '-5' to each side of the equation. 5 + -5 + 3p = -21 + -5 Combine like terms: 5 + -5 = 0 0 + 3p = -21 + -5 3p = -21 + -5 Combine like terms: -21 + -5 = -26 3p = -26 Divide each side by '3'. p = -8.666666667 Simplifying p = -8.666666667
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