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Simplifying -6p + 7 = 3[2p + -3] + -4[-10 + 4p] Reorder the terms: 7 + -6p = 3[2p + -3] + -4[-10 + 4p] Reorder the terms: 7 + -6p = 3[-3 + 2p] + -4[-10 + 4p] 7 + -6p = [-3 * 3 + 2p * 3] + -4[-10 + 4p] 7 + -6p = [-9 + 6p] + -4[-10 + 4p] 7 + -6p = -9 + 6p + [-10 * -4 + 4p * -4] 7 + -6p = -9 + 6p + [40 + -16p] Reorder the terms: 7 + -6p = -9 + 40 + 6p + -16p Combine like terms: -9 + 40 = 31 7 + -6p = 31 + 6p + -16p Combine like terms: 6p + -16p = -10p 7 + -6p = 31 + -10p Solving 7 + -6p = 31 + -10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '10p' to each side of the equation. 7 + -6p + 10p = 31 + -10p + 10p Combine like terms: -6p + 10p = 4p 7 + 4p = 31 + -10p + 10p Combine like terms: -10p + 10p = 0 7 + 4p = 31 + 0 7 + 4p = 31 Add '-7' to each side of the equation. 7 + -7 + 4p = 31 + -7 Combine like terms: 7 + -7 = 0 0 + 4p = 31 + -7 4p = 31 + -7 Combine like terms: 31 + -7 = 24 4p = 24 Divide each side by '4'. p = 6 Simplifying p = 6
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