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Simplifying -5(2p + 2) + -14 = 2(5p + 8) Reorder the terms: -5(2 + 2p) + -14 = 2(5p + 8) (2 * -5 + 2p * -5) + -14 = 2(5p + 8) (-10 + -10p) + -14 = 2(5p + 8) Reorder the terms: -10 + -14 + -10p = 2(5p + 8) Combine like terms: -10 + -14 = -24 -24 + -10p = 2(5p + 8) Reorder the terms: -24 + -10p = 2(8 + 5p) -24 + -10p = (8 * 2 + 5p * 2) -24 + -10p = (16 + 10p) Solving -24 + -10p = 16 + 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. -24 + -10p + -10p = 16 + 10p + -10p Combine like terms: -10p + -10p = -20p -24 + -20p = 16 + 10p + -10p Combine like terms: 10p + -10p = 0 -24 + -20p = 16 + 0 -24 + -20p = 16 Add '24' to each side of the equation. -24 + 24 + -20p = 16 + 24 Combine like terms: -24 + 24 = 0 0 + -20p = 16 + 24 -20p = 16 + 24 Combine like terms: 16 + 24 = 40 -20p = 40 Divide each side by '-20'. p = -2 Simplifying p = -2
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