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Simplifying -19 = -1(5p + -2) + 2(p + -6) Reorder the terms: -19 = -1(-2 + 5p) + 2(p + -6) -19 = (-2 * -1 + 5p * -1) + 2(p + -6) -19 = (2 + -5p) + 2(p + -6) Reorder the terms: -19 = 2 + -5p + 2(-6 + p) -19 = 2 + -5p + (-6 * 2 + p * 2) -19 = 2 + -5p + (-12 + 2p) Reorder the terms: -19 = 2 + -12 + -5p + 2p Combine like terms: 2 + -12 = -10 -19 = -10 + -5p + 2p Combine like terms: -5p + 2p = -3p -19 = -10 + -3p Solving -19 = -10 + -3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '3p' to each side of the equation. -19 + 3p = -10 + -3p + 3p Combine like terms: -3p + 3p = 0 -19 + 3p = -10 + 0 -19 + 3p = -10 Add '19' to each side of the equation. -19 + 19 + 3p = -10 + 19 Combine like terms: -19 + 19 = 0 0 + 3p = -10 + 19 3p = -10 + 19 Combine like terms: -10 + 19 = 9 3p = 9 Divide each side by '3'. p = 3 Simplifying p = 3
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