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Simplifying -5(2p + 2) + -46 = 2(4p + 8) Reorder the terms: -5(2 + 2p) + -46 = 2(4p + 8) (2 * -5 + 2p * -5) + -46 = 2(4p + 8) (-10 + -10p) + -46 = 2(4p + 8) Reorder the terms: -10 + -46 + -10p = 2(4p + 8) Combine like terms: -10 + -46 = -56 -56 + -10p = 2(4p + 8) Reorder the terms: -56 + -10p = 2(8 + 4p) -56 + -10p = (8 * 2 + 4p * 2) -56 + -10p = (16 + 8p) Solving -56 + -10p = 16 + 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. -56 + -10p + -8p = 16 + 8p + -8p Combine like terms: -10p + -8p = -18p -56 + -18p = 16 + 8p + -8p Combine like terms: 8p + -8p = 0 -56 + -18p = 16 + 0 -56 + -18p = 16 Add '56' to each side of the equation. -56 + 56 + -18p = 16 + 56 Combine like terms: -56 + 56 = 0 0 + -18p = 16 + 56 -18p = 16 + 56 Combine like terms: 16 + 56 = 72 -18p = 72 Divide each side by '-18'. p = -4 Simplifying p = -4
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