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Simplifying -1(5p + 8) = 4(p + 4) + -6 Reorder the terms: -1(8 + 5p) = 4(p + 4) + -6 (8 * -1 + 5p * -1) = 4(p + 4) + -6 (-8 + -5p) = 4(p + 4) + -6 Reorder the terms: -8 + -5p = 4(4 + p) + -6 -8 + -5p = (4 * 4 + p * 4) + -6 -8 + -5p = (16 + 4p) + -6 Reorder the terms: -8 + -5p = 16 + -6 + 4p Combine like terms: 16 + -6 = 10 -8 + -5p = 10 + 4p Solving -8 + -5p = 10 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. -8 + -5p + -4p = 10 + 4p + -4p Combine like terms: -5p + -4p = -9p -8 + -9p = 10 + 4p + -4p Combine like terms: 4p + -4p = 0 -8 + -9p = 10 + 0 -8 + -9p = 10 Add '8' to each side of the equation. -8 + 8 + -9p = 10 + 8 Combine like terms: -8 + 8 = 0 0 + -9p = 10 + 8 -9p = 10 + 8 Combine like terms: 10 + 8 = 18 -9p = 18 Divide each side by '-9'. p = -2 Simplifying p = -2
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