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Simplifying 3p + 7 = -5(p + 9) + 2(2 + -4p) Reorder the terms: 7 + 3p = -5(p + 9) + 2(2 + -4p) Reorder the terms: 7 + 3p = -5(9 + p) + 2(2 + -4p) 7 + 3p = (9 * -5 + p * -5) + 2(2 + -4p) 7 + 3p = (-45 + -5p) + 2(2 + -4p) 7 + 3p = -45 + -5p + (2 * 2 + -4p * 2) 7 + 3p = -45 + -5p + (4 + -8p) Reorder the terms: 7 + 3p = -45 + 4 + -5p + -8p Combine like terms: -45 + 4 = -41 7 + 3p = -41 + -5p + -8p Combine like terms: -5p + -8p = -13p 7 + 3p = -41 + -13p Solving 7 + 3p = -41 + -13p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '13p' to each side of the equation. 7 + 3p + 13p = -41 + -13p + 13p Combine like terms: 3p + 13p = 16p 7 + 16p = -41 + -13p + 13p Combine like terms: -13p + 13p = 0 7 + 16p = -41 + 0 7 + 16p = -41 Add '-7' to each side of the equation. 7 + -7 + 16p = -41 + -7 Combine like terms: 7 + -7 = 0 0 + 16p = -41 + -7 16p = -41 + -7 Combine like terms: -41 + -7 = -48 16p = -48 Divide each side by '16'. p = -3 Simplifying p = -3
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