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Simplifying -6 + 7 = 3(2p + -3) + -4(-10 + 4p) Combine like terms: -6 + 7 = 1 1 = 3(2p + -3) + -4(-10 + 4p) Reorder the terms: 1 = 3(-3 + 2p) + -4(-10 + 4p) 1 = (-3 * 3 + 2p * 3) + -4(-10 + 4p) 1 = (-9 + 6p) + -4(-10 + 4p) 1 = -9 + 6p + (-10 * -4 + 4p * -4) 1 = -9 + 6p + (40 + -16p) Reorder the terms: 1 = -9 + 40 + 6p + -16p Combine like terms: -9 + 40 = 31 1 = 31 + 6p + -16p Combine like terms: 6p + -16p = -10p 1 = 31 + -10p Solving 1 = 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. 1 + 10p = 31 + -10p + 10p Combine like terms: -10p + 10p = 0 1 + 10p = 31 + 0 1 + 10p = 31 Add '-1' to each side of the equation. 1 + -1 + 10p = 31 + -1 Combine like terms: 1 + -1 = 0 0 + 10p = 31 + -1 10p = 31 + -1 Combine like terms: 31 + -1 = 30 10p = 30 Divide each side by '10'. p = 3 Simplifying p = 3
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