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Simplifying -5(5p + 3) + -35 = 3(3p + 6) Reorder the terms: -5(3 + 5p) + -35 = 3(3p + 6) (3 * -5 + 5p * -5) + -35 = 3(3p + 6) (-15 + -25p) + -35 = 3(3p + 6) Reorder the terms: -15 + -35 + -25p = 3(3p + 6) Combine like terms: -15 + -35 = -50 -50 + -25p = 3(3p + 6) Reorder the terms: -50 + -25p = 3(6 + 3p) -50 + -25p = (6 * 3 + 3p * 3) -50 + -25p = (18 + 9p) Solving -50 + -25p = 18 + 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. -50 + -25p + -9p = 18 + 9p + -9p Combine like terms: -25p + -9p = -34p -50 + -34p = 18 + 9p + -9p Combine like terms: 9p + -9p = 0 -50 + -34p = 18 + 0 -50 + -34p = 18 Add '50' to each side of the equation. -50 + 50 + -34p = 18 + 50 Combine like terms: -50 + 50 = 0 0 + -34p = 18 + 50 -34p = 18 + 50 Combine like terms: 18 + 50 = 68 -34p = 68 Divide each side by '-34'. p = -2 Simplifying p = -2
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