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Simplifying -5(3p + 2) + -34 = 2(5p + 3) Reorder the terms: -5(2 + 3p) + -34 = 2(5p + 3) (2 * -5 + 3p * -5) + -34 = 2(5p + 3) (-10 + -15p) + -34 = 2(5p + 3) Reorder the terms: -10 + -34 + -15p = 2(5p + 3) Combine like terms: -10 + -34 = -44 -44 + -15p = 2(5p + 3) Reorder the terms: -44 + -15p = 2(3 + 5p) -44 + -15p = (3 * 2 + 5p * 2) -44 + -15p = (6 + 10p) Solving -44 + -15p = 6 + 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. -44 + -15p + -10p = 6 + 10p + -10p Combine like terms: -15p + -10p = -25p -44 + -25p = 6 + 10p + -10p Combine like terms: 10p + -10p = 0 -44 + -25p = 6 + 0 -44 + -25p = 6 Add '44' to each side of the equation. -44 + 44 + -25p = 6 + 44 Combine like terms: -44 + 44 = 0 0 + -25p = 6 + 44 -25p = 6 + 44 Combine like terms: 6 + 44 = 50 -25p = 50 Divide each side by '-25'. p = -2 Simplifying p = -2
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