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Simplifying 2(3p + -5) = 10 + -1(1 + -1p) Reorder the terms: 2(-5 + 3p) = 10 + -1(1 + -1p) (-5 * 2 + 3p * 2) = 10 + -1(1 + -1p) (-10 + 6p) = 10 + -1(1 + -1p) -10 + 6p = 10 + (1 * -1 + -1p * -1) -10 + 6p = 10 + (-1 + 1p) Combine like terms: 10 + -1 = 9 -10 + 6p = 9 + 1p Solving -10 + 6p = 9 + 1p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1p' to each side of the equation. -10 + 6p + -1p = 9 + 1p + -1p Combine like terms: 6p + -1p = 5p -10 + 5p = 9 + 1p + -1p Combine like terms: 1p + -1p = 0 -10 + 5p = 9 + 0 -10 + 5p = 9 Add '10' to each side of the equation. -10 + 10 + 5p = 9 + 10 Combine like terms: -10 + 10 = 0 0 + 5p = 9 + 10 5p = 9 + 10 Combine like terms: 9 + 10 = 19 5p = 19 Divide each side by '5'. p = 3.8 Simplifying p = 3.8
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