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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 = 22p 7 + -6p = 31 + 22p Solving 7 + -6p = 31 + 22p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-22p' to each side of the equation. 7 + -6p + -22p = 31 + 22p + -22p Combine like terms: -6p + -22p = -28p 7 + -28p = 31 + 22p + -22p Combine like terms: 22p + -22p = 0 7 + -28p = 31 + 0 7 + -28p = 31 Add '-7' to each side of the equation. 7 + -7 + -28p = 31 + -7 Combine like terms: 7 + -7 = 0 0 + -28p = 31 + -7 -28p = 31 + -7 Combine like terms: 31 + -7 = 24 -28p = 24 Divide each side by '-28'. p = -0.8571428571 Simplifying p = -0.8571428571
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