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Simplifying -5(2p + 2) + -46 = 2(5p + 2) Reorder the terms: -5(2 + 2p) + -46 = 2(5p + 2) (2 * -5 + 2p * -5) + -46 = 2(5p + 2) (-10 + -10p) + -46 = 2(5p + 2) Reorder the terms: -10 + -46 + -10p = 2(5p + 2) Combine like terms: -10 + -46 = -56 -56 + -10p = 2(5p + 2) Reorder the terms: -56 + -10p = 2(2 + 5p) -56 + -10p = (2 * 2 + 5p * 2) -56 + -10p = (4 + 10p) Solving -56 + -10p = 4 + 10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-10p' to each side of the equation. -56 + -10p + -10p = 4 + 10p + -10p Combine like terms: -10p + -10p = -20p -56 + -20p = 4 + 10p + -10p Combine like terms: 10p + -10p = 0 -56 + -20p = 4 + 0 -56 + -20p = 4 Add '56' to each side of the equation. -56 + 56 + -20p = 4 + 56 Combine like terms: -56 + 56 = 0 0 + -20p = 4 + 56 -20p = 4 + 56 Combine like terms: 4 + 56 = 60 -20p = 60 Divide each side by '-20'. p = -3 Simplifying p = -3
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