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Simplifying -6p + 7 = 3(2p + -3) + -1(10 + 4p) Reorder the terms: 7 + -6p = 3(2p + -3) + -1(10 + 4p) Reorder the terms: 7 + -6p = 3(-3 + 2p) + -1(10 + 4p) 7 + -6p = (-3 * 3 + 2p * 3) + -1(10 + 4p) 7 + -6p = (-9 + 6p) + -1(10 + 4p) 7 + -6p = -9 + 6p + (10 * -1 + 4p * -1) 7 + -6p = -9 + 6p + (-10 + -4p) Reorder the terms: 7 + -6p = -9 + -10 + 6p + -4p Combine like terms: -9 + -10 = -19 7 + -6p = -19 + 6p + -4p Combine like terms: 6p + -4p = 2p 7 + -6p = -19 + 2p Solving 7 + -6p = -19 + 2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. 7 + -6p + -2p = -19 + 2p + -2p Combine like terms: -6p + -2p = -8p 7 + -8p = -19 + 2p + -2p Combine like terms: 2p + -2p = 0 7 + -8p = -19 + 0 7 + -8p = -19 Add '-7' to each side of the equation. 7 + -7 + -8p = -19 + -7 Combine like terms: 7 + -7 = 0 0 + -8p = -19 + -7 -8p = -19 + -7 Combine like terms: -19 + -7 = -26 -8p = -26 Divide each side by '-8'. p = 3.25 Simplifying p = 3.25
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