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Simplifying 8(p + -6) + 5(8 + p) = 8p + 7 + 2p Reorder the terms: 8(-6 + p) + 5(8 + p) = 8p + 7 + 2p (-6 * 8 + p * 8) + 5(8 + p) = 8p + 7 + 2p (-48 + 8p) + 5(8 + p) = 8p + 7 + 2p -48 + 8p + (8 * 5 + p * 5) = 8p + 7 + 2p -48 + 8p + (40 + 5p) = 8p + 7 + 2p Reorder the terms: -48 + 40 + 8p + 5p = 8p + 7 + 2p Combine like terms: -48 + 40 = -8 -8 + 8p + 5p = 8p + 7 + 2p Combine like terms: 8p + 5p = 13p -8 + 13p = 8p + 7 + 2p Reorder the terms: -8 + 13p = 7 + 8p + 2p Combine like terms: 8p + 2p = 10p -8 + 13p = 7 + 10p Solving -8 + 13p = 7 + 10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-10p' to each side of the equation. -8 + 13p + -10p = 7 + 10p + -10p Combine like terms: 13p + -10p = 3p -8 + 3p = 7 + 10p + -10p Combine like terms: 10p + -10p = 0 -8 + 3p = 7 + 0 -8 + 3p = 7 Add '8' to each side of the equation. -8 + 8 + 3p = 7 + 8 Combine like terms: -8 + 8 = 0 0 + 3p = 7 + 8 3p = 7 + 8 Combine like terms: 7 + 8 = 15 3p = 15 Divide each side by '3'. p = 5 Simplifying p = 5
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