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Simplifying -1(5p + 6) = 2(-1p + 3) + 3 Reorder the terms: -1(6 + 5p) = 2(-1p + 3) + 3 (6 * -1 + 5p * -1) = 2(-1p + 3) + 3 (-6 + -5p) = 2(-1p + 3) + 3 Reorder the terms: -6 + -5p = 2(3 + -1p) + 3 -6 + -5p = (3 * 2 + -1p * 2) + 3 -6 + -5p = (6 + -2p) + 3 Reorder the terms: -6 + -5p = 6 + 3 + -2p Combine like terms: 6 + 3 = 9 -6 + -5p = 9 + -2p Solving -6 + -5p = 9 + -2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '2p' to each side of the equation. -6 + -5p + 2p = 9 + -2p + 2p Combine like terms: -5p + 2p = -3p -6 + -3p = 9 + -2p + 2p Combine like terms: -2p + 2p = 0 -6 + -3p = 9 + 0 -6 + -3p = 9 Add '6' to each side of the equation. -6 + 6 + -3p = 9 + 6 Combine like terms: -6 + 6 = 0 0 + -3p = 9 + 6 -3p = 9 + 6 Combine like terms: 9 + 6 = 15 -3p = 15 Divide each side by '-3'. p = -5 Simplifying p = -5
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