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Simplifying -5(5p + 2) + -49 = 3(3p + 3) Reorder the terms: -5(2 + 5p) + -49 = 3(3p + 3) (2 * -5 + 5p * -5) + -49 = 3(3p + 3) (-10 + -25p) + -49 = 3(3p + 3) Reorder the terms: -10 + -49 + -25p = 3(3p + 3) Combine like terms: -10 + -49 = -59 -59 + -25p = 3(3p + 3) Reorder the terms: -59 + -25p = 3(3 + 3p) -59 + -25p = (3 * 3 + 3p * 3) -59 + -25p = (9 + 9p) Solving -59 + -25p = 9 + 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. -59 + -25p + -9p = 9 + 9p + -9p Combine like terms: -25p + -9p = -34p -59 + -34p = 9 + 9p + -9p Combine like terms: 9p + -9p = 0 -59 + -34p = 9 + 0 -59 + -34p = 9 Add '59' to each side of the equation. -59 + 59 + -34p = 9 + 59 Combine like terms: -59 + 59 = 0 0 + -34p = 9 + 59 -34p = 9 + 59 Combine like terms: 9 + 59 = 68 -34p = 68 Divide each side by '-34'. p = -2 Simplifying p = -2
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