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Simplifying -19 + -5(2 + -5p) = 3(p + -3) + -13 -19 + (2 * -5 + -5p * -5) = 3(p + -3) + -13 -19 + (-10 + 25p) = 3(p + -3) + -13 Combine like terms: -19 + -10 = -29 -29 + 25p = 3(p + -3) + -13 Reorder the terms: -29 + 25p = 3(-3 + p) + -13 -29 + 25p = (-3 * 3 + p * 3) + -13 -29 + 25p = (-9 + 3p) + -13 Reorder the terms: -29 + 25p = -9 + -13 + 3p Combine like terms: -9 + -13 = -22 -29 + 25p = -22 + 3p Solving -29 + 25p = -22 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. -29 + 25p + -3p = -22 + 3p + -3p Combine like terms: 25p + -3p = 22p -29 + 22p = -22 + 3p + -3p Combine like terms: 3p + -3p = 0 -29 + 22p = -22 + 0 -29 + 22p = -22 Add '29' to each side of the equation. -29 + 29 + 22p = -22 + 29 Combine like terms: -29 + 29 = 0 0 + 22p = -22 + 29 22p = -22 + 29 Combine like terms: -22 + 29 = 7 22p = 7 Divide each side by '22'. p = 0.3181818182 Simplifying p = 0.3181818182
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