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Simplifying -4p + -37 = 5(p + 7) Reorder the terms: -37 + -4p = 5(p + 7) Reorder the terms: -37 + -4p = 5(7 + p) -37 + -4p = (7 * 5 + p * 5) -37 + -4p = (35 + 5p) Solving -37 + -4p = 35 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. -37 + -4p + -5p = 35 + 5p + -5p Combine like terms: -4p + -5p = -9p -37 + -9p = 35 + 5p + -5p Combine like terms: 5p + -5p = 0 -37 + -9p = 35 + 0 -37 + -9p = 35 Add '37' to each side of the equation. -37 + 37 + -9p = 35 + 37 Combine like terms: -37 + 37 = 0 0 + -9p = 35 + 37 -9p = 35 + 37 Combine like terms: 35 + 37 = 72 -9p = 72 Divide each side by '-9'. p = -8 Simplifying p = -8
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