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Simplifying -4(5p + 3) + -25 = 3(3p + 7) Reorder the terms: -4(3 + 5p) + -25 = 3(3p + 7) (3 * -4 + 5p * -4) + -25 = 3(3p + 7) (-12 + -20p) + -25 = 3(3p + 7) Reorder the terms: -12 + -25 + -20p = 3(3p + 7) Combine like terms: -12 + -25 = -37 -37 + -20p = 3(3p + 7) Reorder the terms: -37 + -20p = 3(7 + 3p) -37 + -20p = (7 * 3 + 3p * 3) -37 + -20p = (21 + 9p) Solving -37 + -20p = 21 + 9p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-9p' to each side of the equation. -37 + -20p + -9p = 21 + 9p + -9p Combine like terms: -20p + -9p = -29p -37 + -29p = 21 + 9p + -9p Combine like terms: 9p + -9p = 0 -37 + -29p = 21 + 0 -37 + -29p = 21 Add '37' to each side of the equation. -37 + 37 + -29p = 21 + 37 Combine like terms: -37 + 37 = 0 0 + -29p = 21 + 37 -29p = 21 + 37 Combine like terms: 21 + 37 = 58 -29p = 58 Divide each side by '-29'. p = -2 Simplifying p = -2
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