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Simplifying -18p + -5(4 + -5p) = 2(p + -2) + -6 -18p + (4 * -5 + -5p * -5) = 2(p + -2) + -6 -18p + (-20 + 25p) = 2(p + -2) + -6 Reorder the terms: -20 + -18p + 25p = 2(p + -2) + -6 Combine like terms: -18p + 25p = 7p -20 + 7p = 2(p + -2) + -6 Reorder the terms: -20 + 7p = 2(-2 + p) + -6 -20 + 7p = (-2 * 2 + p * 2) + -6 -20 + 7p = (-4 + 2p) + -6 Reorder the terms: -20 + 7p = -4 + -6 + 2p Combine like terms: -4 + -6 = -10 -20 + 7p = -10 + 2p Solving -20 + 7p = -10 + 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. -20 + 7p + -2p = -10 + 2p + -2p Combine like terms: 7p + -2p = 5p -20 + 5p = -10 + 2p + -2p Combine like terms: 2p + -2p = 0 -20 + 5p = -10 + 0 -20 + 5p = -10 Add '20' to each side of the equation. -20 + 20 + 5p = -10 + 20 Combine like terms: -20 + 20 = 0 0 + 5p = -10 + 20 5p = -10 + 20 Combine like terms: -10 + 20 = 10 5p = 10 Divide each side by '5'. p = 2 Simplifying p = 2
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