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Simplifying 4p + -1(2 + p) = 8p + 7 4p + (2 * -1 + p * -1) = 8p + 7 4p + (-2 + -1p) = 8p + 7 Reorder the terms: -2 + 4p + -1p = 8p + 7 Combine like terms: 4p + -1p = 3p -2 + 3p = 8p + 7 Reorder the terms: -2 + 3p = 7 + 8p Solving -2 + 3p = 7 + 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. -2 + 3p + -8p = 7 + 8p + -8p Combine like terms: 3p + -8p = -5p -2 + -5p = 7 + 8p + -8p Combine like terms: 8p + -8p = 0 -2 + -5p = 7 + 0 -2 + -5p = 7 Add '2' to each side of the equation. -2 + 2 + -5p = 7 + 2 Combine like terms: -2 + 2 = 0 0 + -5p = 7 + 2 -5p = 7 + 2 Combine like terms: 7 + 2 = 9 -5p = 9 Divide each side by '-5'. p = -1.8 Simplifying p = -1.8
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