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Simplifying -17p + -6(3 + -4p) = 2(p + -2) + -9 -17p + (3 * -6 + -4p * -6) = 2(p + -2) + -9 -17p + (-18 + 24p) = 2(p + -2) + -9 Reorder the terms: -18 + -17p + 24p = 2(p + -2) + -9 Combine like terms: -17p + 24p = 7p -18 + 7p = 2(p + -2) + -9 Reorder the terms: -18 + 7p = 2(-2 + p) + -9 -18 + 7p = (-2 * 2 + p * 2) + -9 -18 + 7p = (-4 + 2p) + -9 Reorder the terms: -18 + 7p = -4 + -9 + 2p Combine like terms: -4 + -9 = -13 -18 + 7p = -13 + 2p Solving -18 + 7p = -13 + 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 = -13 + 2p + -2p Combine like terms: 7p + -2p = 5p -18 + 5p = -13 + 2p + -2p Combine like terms: 2p + -2p = 0 -18 + 5p = -13 + 0 -18 + 5p = -13 Add '18' to each side of the equation. -18 + 18 + 5p = -13 + 18 Combine like terms: -18 + 18 = 0 0 + 5p = -13 + 18 5p = -13 + 18 Combine like terms: -13 + 18 = 5 5p = 5 Divide each side by '5'. p = 1 Simplifying p = 1
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