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Simplifying -6p + 7 = 9(2p + -3) + -4(-10 + 4p) Reorder the terms: 7 + -6p = 9(2p + -3) + -4(-10 + 4p) Reorder the terms: 7 + -6p = 9(-3 + 2p) + -4(-10 + 4p) 7 + -6p = (-3 * 9 + 2p * 9) + -4(-10 + 4p) 7 + -6p = (-27 + 18p) + -4(-10 + 4p) 7 + -6p = -27 + 18p + (-10 * -4 + 4p * -4) 7 + -6p = -27 + 18p + (40 + -16p) Reorder the terms: 7 + -6p = -27 + 40 + 18p + -16p Combine like terms: -27 + 40 = 13 7 + -6p = 13 + 18p + -16p Combine like terms: 18p + -16p = 2p 7 + -6p = 13 + 2p Solving 7 + -6p = 13 + 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 = 13 + 2p + -2p Combine like terms: -6p + -2p = -8p 7 + -8p = 13 + 2p + -2p Combine like terms: 2p + -2p = 0 7 + -8p = 13 + 0 7 + -8p = 13 Add '-7' to each side of the equation. 7 + -7 + -8p = 13 + -7 Combine like terms: 7 + -7 = 0 0 + -8p = 13 + -7 -8p = 13 + -7 Combine like terms: 13 + -7 = 6 -8p = 6 Divide each side by '-8'. p = -0.75 Simplifying p = -0.75
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