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Simplifying -9p + -4 = 5(p + 6) + 2(-8 + -10p) Reorder the terms: -4 + -9p = 5(p + 6) + 2(-8 + -10p) Reorder the terms: -4 + -9p = 5(6 + p) + 2(-8 + -10p) -4 + -9p = (6 * 5 + p * 5) + 2(-8 + -10p) -4 + -9p = (30 + 5p) + 2(-8 + -10p) -4 + -9p = 30 + 5p + (-8 * 2 + -10p * 2) -4 + -9p = 30 + 5p + (-16 + -20p) Reorder the terms: -4 + -9p = 30 + -16 + 5p + -20p Combine like terms: 30 + -16 = 14 -4 + -9p = 14 + 5p + -20p Combine like terms: 5p + -20p = -15p -4 + -9p = 14 + -15p Solving -4 + -9p = 14 + -15p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '15p' to each side of the equation. -4 + -9p + 15p = 14 + -15p + 15p Combine like terms: -9p + 15p = 6p -4 + 6p = 14 + -15p + 15p Combine like terms: -15p + 15p = 0 -4 + 6p = 14 + 0 -4 + 6p = 14 Add '4' to each side of the equation. -4 + 4 + 6p = 14 + 4 Combine like terms: -4 + 4 = 0 0 + 6p = 14 + 4 6p = 14 + 4 Combine like terms: 14 + 4 = 18 6p = 18 Divide each side by '6'. p = 3 Simplifying p = 3
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