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Simplifying -6p + 7 = (2p + -3) + -4(-10 + 4p) Reorder the terms: 7 + -6p = (2p + -3) + -4(-10 + 4p) Reorder the terms: 7 + -6p = (-3 + 2p) + -4(-10 + 4p) Remove parenthesis around (-3 + 2p) 7 + -6p = -3 + 2p + -4(-10 + 4p) 7 + -6p = -3 + 2p + (-10 * -4 + 4p * -4) 7 + -6p = -3 + 2p + (40 + -16p) Reorder the terms: 7 + -6p = -3 + 40 + 2p + -16p Combine like terms: -3 + 40 = 37 7 + -6p = 37 + 2p + -16p Combine like terms: 2p + -16p = -14p 7 + -6p = 37 + -14p Solving 7 + -6p = 37 + -14p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '14p' to each side of the equation. 7 + -6p + 14p = 37 + -14p + 14p Combine like terms: -6p + 14p = 8p 7 + 8p = 37 + -14p + 14p Combine like terms: -14p + 14p = 0 7 + 8p = 37 + 0 7 + 8p = 37 Add '-7' to each side of the equation. 7 + -7 + 8p = 37 + -7 Combine like terms: 7 + -7 = 0 0 + 8p = 37 + -7 8p = 37 + -7 Combine like terms: 37 + -7 = 30 8p = 30 Divide each side by '8'. p = 3.75 Simplifying p = 3.75
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