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Simplifying -9p + 5(p + 4) = -6(10p + 7) + 6 Reorder the terms: -9p + 5(4 + p) = -6(10p + 7) + 6 -9p + (4 * 5 + p * 5) = -6(10p + 7) + 6 -9p + (20 + 5p) = -6(10p + 7) + 6 Reorder the terms: 20 + -9p + 5p = -6(10p + 7) + 6 Combine like terms: -9p + 5p = -4p 20 + -4p = -6(10p + 7) + 6 Reorder the terms: 20 + -4p = -6(7 + 10p) + 6 20 + -4p = (7 * -6 + 10p * -6) + 6 20 + -4p = (-42 + -60p) + 6 Reorder the terms: 20 + -4p = -42 + 6 + -60p Combine like terms: -42 + 6 = -36 20 + -4p = -36 + -60p Solving 20 + -4p = -36 + -60p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '60p' to each side of the equation. 20 + -4p + 60p = -36 + -60p + 60p Combine like terms: -4p + 60p = 56p 20 + 56p = -36 + -60p + 60p Combine like terms: -60p + 60p = 0 20 + 56p = -36 + 0 20 + 56p = -36 Add '-20' to each side of the equation. 20 + -20 + 56p = -36 + -20 Combine like terms: 20 + -20 = 0 0 + 56p = -36 + -20 56p = -36 + -20 Combine like terms: -36 + -20 = -56 56p = -56 Divide each side by '56'. p = -1 Simplifying p = -1
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