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Simplifying -9p + 37 = -5(4 + -2p) Reorder the terms: 37 + -9p = -5(4 + -2p) 37 + -9p = (4 * -5 + -2p * -5) 37 + -9p = (-20 + 10p) Solving 37 + -9p = -20 + 10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-10p' to each side of the equation. 37 + -9p + -10p = -20 + 10p + -10p Combine like terms: -9p + -10p = -19p 37 + -19p = -20 + 10p + -10p Combine like terms: 10p + -10p = 0 37 + -19p = -20 + 0 37 + -19p = -20 Add '-37' to each side of the equation. 37 + -37 + -19p = -20 + -37 Combine like terms: 37 + -37 = 0 0 + -19p = -20 + -37 -19p = -20 + -37 Combine like terms: -20 + -37 = -57 -19p = -57 Divide each side by '-19'. p = 3 Simplifying p = 3
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