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Simplifying -7p + -5(4 + -3p) = 3(p + -6) + -27 -7p + (4 * -5 + -3p * -5) = 3(p + -6) + -27 -7p + (-20 + 15p) = 3(p + -6) + -27 Reorder the terms: -20 + -7p + 15p = 3(p + -6) + -27 Combine like terms: -7p + 15p = 8p -20 + 8p = 3(p + -6) + -27 Reorder the terms: -20 + 8p = 3(-6 + p) + -27 -20 + 8p = (-6 * 3 + p * 3) + -27 -20 + 8p = (-18 + 3p) + -27 Reorder the terms: -20 + 8p = -18 + -27 + 3p Combine like terms: -18 + -27 = -45 -20 + 8p = -45 + 3p Solving -20 + 8p = -45 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. -20 + 8p + -3p = -45 + 3p + -3p Combine like terms: 8p + -3p = 5p -20 + 5p = -45 + 3p + -3p Combine like terms: 3p + -3p = 0 -20 + 5p = -45 + 0 -20 + 5p = -45 Add '20' to each side of the equation. -20 + 20 + 5p = -45 + 20 Combine like terms: -20 + 20 = 0 0 + 5p = -45 + 20 5p = -45 + 20 Combine like terms: -45 + 20 = -25 5p = -25 Divide each side by '5'. p = -5 Simplifying p = -5
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