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Simplifying 6p + -1(8p + 4) = 7 + -1(5p + -8) Reorder the terms: 6p + -1(4 + 8p) = 7 + -1(5p + -8) 6p + (4 * -1 + 8p * -1) = 7 + -1(5p + -8) 6p + (-4 + -8p) = 7 + -1(5p + -8) Reorder the terms: -4 + 6p + -8p = 7 + -1(5p + -8) Combine like terms: 6p + -8p = -2p -4 + -2p = 7 + -1(5p + -8) Reorder the terms: -4 + -2p = 7 + -1(-8 + 5p) -4 + -2p = 7 + (-8 * -1 + 5p * -1) -4 + -2p = 7 + (8 + -5p) Combine like terms: 7 + 8 = 15 -4 + -2p = 15 + -5p Solving -4 + -2p = 15 + -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. -4 + -2p + 5p = 15 + -5p + 5p Combine like terms: -2p + 5p = 3p -4 + 3p = 15 + -5p + 5p Combine like terms: -5p + 5p = 0 -4 + 3p = 15 + 0 -4 + 3p = 15 Add '4' to each side of the equation. -4 + 4 + 3p = 15 + 4 Combine like terms: -4 + 4 = 0 0 + 3p = 15 + 4 3p = 15 + 4 Combine like terms: 15 + 4 = 19 3p = 19 Divide each side by '3'. p = 6.333333333 Simplifying p = 6.333333333
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