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Simplifying 5p + -1(8 + 2p) = 5(p + -2) 5p + (8 * -1 + 2p * -1) = 5(p + -2) 5p + (-8 + -2p) = 5(p + -2) Reorder the terms: -8 + 5p + -2p = 5(p + -2) Combine like terms: 5p + -2p = 3p -8 + 3p = 5(p + -2) Reorder the terms: -8 + 3p = 5(-2 + p) -8 + 3p = (-2 * 5 + p * 5) -8 + 3p = (-10 + 5p) Solving -8 + 3p = -10 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. -8 + 3p + -5p = -10 + 5p + -5p Combine like terms: 3p + -5p = -2p -8 + -2p = -10 + 5p + -5p Combine like terms: 5p + -5p = 0 -8 + -2p = -10 + 0 -8 + -2p = -10 Add '8' to each side of the equation. -8 + 8 + -2p = -10 + 8 Combine like terms: -8 + 8 = 0 0 + -2p = -10 + 8 -2p = -10 + 8 Combine like terms: -10 + 8 = -2 -2p = -2 Divide each side by '-2'. p = 1 Simplifying p = 1
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