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Simplifying 5p + -8 = -4(2p + -6) + 5(10 + 3p) Reorder the terms: -8 + 5p = -4(2p + -6) + 5(10 + 3p) Reorder the terms: -8 + 5p = -4(-6 + 2p) + 5(10 + 3p) -8 + 5p = (-6 * -4 + 2p * -4) + 5(10 + 3p) -8 + 5p = (24 + -8p) + 5(10 + 3p) -8 + 5p = 24 + -8p + (10 * 5 + 3p * 5) -8 + 5p = 24 + -8p + (50 + 15p) Reorder the terms: -8 + 5p = 24 + 50 + -8p + 15p Combine like terms: 24 + 50 = 74 -8 + 5p = 74 + -8p + 15p Combine like terms: -8p + 15p = 7p -8 + 5p = 74 + 7p Solving -8 + 5p = 74 + 7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7p' to each side of the equation. -8 + 5p + -7p = 74 + 7p + -7p Combine like terms: 5p + -7p = -2p -8 + -2p = 74 + 7p + -7p Combine like terms: 7p + -7p = 0 -8 + -2p = 74 + 0 -8 + -2p = 74 Add '8' to each side of the equation. -8 + 8 + -2p = 74 + 8 Combine like terms: -8 + 8 = 0 0 + -2p = 74 + 8 -2p = 74 + 8 Combine like terms: 74 + 8 = 82 -2p = 82 Divide each side by '-2'. p = -41 Simplifying p = -41
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