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Simplifying -64 = -5(p + 6) + -1(p + -8) Reorder the terms: -64 = -5(6 + p) + -1(p + -8) -64 = (6 * -5 + p * -5) + -1(p + -8) -64 = (-30 + -5p) + -1(p + -8) Reorder the terms: -64 = -30 + -5p + -1(-8 + p) -64 = -30 + -5p + (-8 * -1 + p * -1) -64 = -30 + -5p + (8 + -1p) Reorder the terms: -64 = -30 + 8 + -5p + -1p Combine like terms: -30 + 8 = -22 -64 = -22 + -5p + -1p Combine like terms: -5p + -1p = -6p -64 = -22 + -6p Solving -64 = -22 + -6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '6p' to each side of the equation. -64 + 6p = -22 + -6p + 6p Combine like terms: -6p + 6p = 0 -64 + 6p = -22 + 0 -64 + 6p = -22 Add '64' to each side of the equation. -64 + 64 + 6p = -22 + 64 Combine like terms: -64 + 64 = 0 0 + 6p = -22 + 64 6p = -22 + 64 Combine like terms: -22 + 64 = 42 6p = 42 Divide each side by '6'. p = 7 Simplifying p = 7
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