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Simplifying -6p + 7 = 3(2q + -3) + -4(-10 + 4p) Reorder the terms: 7 + -6p = 3(2q + -3) + -4(-10 + 4p) Reorder the terms: 7 + -6p = 3(-3 + 2q) + -4(-10 + 4p) 7 + -6p = (-3 * 3 + 2q * 3) + -4(-10 + 4p) 7 + -6p = (-9 + 6q) + -4(-10 + 4p) 7 + -6p = -9 + 6q + (-10 * -4 + 4p * -4) 7 + -6p = -9 + 6q + (40 + -16p) Reorder the terms: 7 + -6p = -9 + 40 + -16p + 6q Combine like terms: -9 + 40 = 31 7 + -6p = 31 + -16p + 6q Solving 7 + -6p = 31 + -16p + 6q Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '16p' to each side of the equation. 7 + -6p + 16p = 31 + -16p + 16p + 6q Combine like terms: -6p + 16p = 10p 7 + 10p = 31 + -16p + 16p + 6q Combine like terms: -16p + 16p = 0 7 + 10p = 31 + 0 + 6q 7 + 10p = 31 + 6q Add '-7' to each side of the equation. 7 + -7 + 10p = 31 + -7 + 6q Combine like terms: 7 + -7 = 0 0 + 10p = 31 + -7 + 6q 10p = 31 + -7 + 6q Combine like terms: 31 + -7 = 24 10p = 24 + 6q Divide each side by '10'. p = 2.4 + 0.6q Simplifying p = 2.4 + 0.6q
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