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Simplifying -8p + -3(6 + -5p) = 2(p + -3) + -22 -8p + (6 * -3 + -5p * -3) = 2(p + -3) + -22 -8p + (-18 + 15p) = 2(p + -3) + -22 Reorder the terms: -18 + -8p + 15p = 2(p + -3) + -22 Combine like terms: -8p + 15p = 7p -18 + 7p = 2(p + -3) + -22 Reorder the terms: -18 + 7p = 2(-3 + p) + -22 -18 + 7p = (-3 * 2 + p * 2) + -22 -18 + 7p = (-6 + 2p) + -22 Reorder the terms: -18 + 7p = -6 + -22 + 2p Combine like terms: -6 + -22 = -28 -18 + 7p = -28 + 2p Solving -18 + 7p = -28 + 2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. -18 + 7p + -2p = -28 + 2p + -2p Combine like terms: 7p + -2p = 5p -18 + 5p = -28 + 2p + -2p Combine like terms: 2p + -2p = 0 -18 + 5p = -28 + 0 -18 + 5p = -28 Add '18' to each side of the equation. -18 + 18 + 5p = -28 + 18 Combine like terms: -18 + 18 = 0 0 + 5p = -28 + 18 5p = -28 + 18 Combine like terms: -28 + 18 = -10 5p = -10 Divide each side by '5'. p = -2 Simplifying p = -2
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