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Simplifying 3p + -1 = 5(p + -1) + -2(7 + -29) Reorder the terms: -1 + 3p = 5(p + -1) + -2(7 + -29) Reorder the terms: -1 + 3p = 5(-1 + p) + -2(7 + -29) -1 + 3p = (-1 * 5 + p * 5) + -2(7 + -29) -1 + 3p = (-5 + 5p) + -2(7 + -29) Combine like terms: 7 + -29 = -22 -1 + 3p = -5 + 5p + -2(-22) Multiply -2 * -22 -1 + 3p = -5 + 5p + 44 Reorder the terms: -1 + 3p = -5 + 44 + 5p Combine like terms: -5 + 44 = 39 -1 + 3p = 39 + 5p Solving -1 + 3p = 39 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. -1 + 3p + -5p = 39 + 5p + -5p Combine like terms: 3p + -5p = -2p -1 + -2p = 39 + 5p + -5p Combine like terms: 5p + -5p = 0 -1 + -2p = 39 + 0 -1 + -2p = 39 Add '1' to each side of the equation. -1 + 1 + -2p = 39 + 1 Combine like terms: -1 + 1 = 0 0 + -2p = 39 + 1 -2p = 39 + 1 Combine like terms: 39 + 1 = 40 -2p = 40 Divide each side by '-2'. p = -20 Simplifying p = -20
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