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Simplifying 5p + -1(2p + 6) = 6 + -1(6p + -8) Reorder the terms: 5p + -1(6 + 2p) = 6 + -1(6p + -8) 5p + (6 * -1 + 2p * -1) = 6 + -1(6p + -8) 5p + (-6 + -2p) = 6 + -1(6p + -8) Reorder the terms: -6 + 5p + -2p = 6 + -1(6p + -8) Combine like terms: 5p + -2p = 3p -6 + 3p = 6 + -1(6p + -8) Reorder the terms: -6 + 3p = 6 + -1(-8 + 6p) -6 + 3p = 6 + (-8 * -1 + 6p * -1) -6 + 3p = 6 + (8 + -6p) Combine like terms: 6 + 8 = 14 -6 + 3p = 14 + -6p Solving -6 + 3p = 14 + -6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '6p' to each side of the equation. -6 + 3p + 6p = 14 + -6p + 6p Combine like terms: 3p + 6p = 9p -6 + 9p = 14 + -6p + 6p Combine like terms: -6p + 6p = 0 -6 + 9p = 14 + 0 -6 + 9p = 14 Add '6' to each side of the equation. -6 + 6 + 9p = 14 + 6 Combine like terms: -6 + 6 = 0 0 + 9p = 14 + 6 9p = 14 + 6 Combine like terms: 14 + 6 = 20 9p = 20 Divide each side by '9'. p = 2.222222222 Simplifying p = 2.222222222
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