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Simplifying -5(3p + 4) + -41 = 4(2p + 2) Reorder the terms: -5(4 + 3p) + -41 = 4(2p + 2) (4 * -5 + 3p * -5) + -41 = 4(2p + 2) (-20 + -15p) + -41 = 4(2p + 2) Reorder the terms: -20 + -41 + -15p = 4(2p + 2) Combine like terms: -20 + -41 = -61 -61 + -15p = 4(2p + 2) Reorder the terms: -61 + -15p = 4(2 + 2p) -61 + -15p = (2 * 4 + 2p * 4) -61 + -15p = (8 + 8p) Solving -61 + -15p = 8 + 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. -61 + -15p + -8p = 8 + 8p + -8p Combine like terms: -15p + -8p = -23p -61 + -23p = 8 + 8p + -8p Combine like terms: 8p + -8p = 0 -61 + -23p = 8 + 0 -61 + -23p = 8 Add '61' to each side of the equation. -61 + 61 + -23p = 8 + 61 Combine like terms: -61 + 61 = 0 0 + -23p = 8 + 61 -23p = 8 + 61 Combine like terms: 8 + 61 = 69 -23p = 69 Divide each side by '-23'. p = -3 Simplifying p = -3
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