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Simplifying 2[6 + -1(4p + 7)] + 10 = 4(5 + -1p) Reorder the terms: 2[6 + -1(7 + 4p)] + 10 = 4(5 + -1p) 2[6 + (7 * -1 + 4p * -1)] + 10 = 4(5 + -1p) 2[6 + (-7 + -4p)] + 10 = 4(5 + -1p) Combine like terms: 6 + -7 = -1 2[-1 + -4p] + 10 = 4(5 + -1p) [-1 * 2 + -4p * 2] + 10 = 4(5 + -1p) [-2 + -8p] + 10 = 4(5 + -1p) Reorder the terms: -2 + 10 + -8p = 4(5 + -1p) Combine like terms: -2 + 10 = 8 8 + -8p = 4(5 + -1p) 8 + -8p = (5 * 4 + -1p * 4) 8 + -8p = (20 + -4p) Solving 8 + -8p = 20 + -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 + -8p + 4p = 20 + -4p + 4p Combine like terms: -8p + 4p = -4p 8 + -4p = 20 + -4p + 4p Combine like terms: -4p + 4p = 0 8 + -4p = 20 + 0 8 + -4p = 20 Add '-8' to each side of the equation. 8 + -8 + -4p = 20 + -8 Combine like terms: 8 + -8 = 0 0 + -4p = 20 + -8 -4p = 20 + -8 Combine like terms: 20 + -8 = 12 -4p = 12 Divide each side by '-4'. p = -3 Simplifying p = -3
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