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Simplifying 41 + -3p = -8(-5 + 2p) + -12 41 + -3p = (-5 * -8 + 2p * -8) + -12 41 + -3p = (40 + -16p) + -12 Reorder the terms: 41 + -3p = 40 + -12 + -16p Combine like terms: 40 + -12 = 28 41 + -3p = 28 + -16p Solving 41 + -3p = 28 + -16p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '16p' to each side of the equation. 41 + -3p + 16p = 28 + -16p + 16p Combine like terms: -3p + 16p = 13p 41 + 13p = 28 + -16p + 16p Combine like terms: -16p + 16p = 0 41 + 13p = 28 + 0 41 + 13p = 28 Add '-41' to each side of the equation. 41 + -41 + 13p = 28 + -41 Combine like terms: 41 + -41 = 0 0 + 13p = 28 + -41 13p = 28 + -41 Combine like terms: 28 + -41 = -13 13p = -13 Divide each side by '13'. p = -1 Simplifying p = -1
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