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Simplifying -2p + -3(3 + -4p) = 5(p + -6) + -19 -2p + (3 * -3 + -4p * -3) = 5(p + -6) + -19 -2p + (-9 + 12p) = 5(p + -6) + -19 Reorder the terms: -9 + -2p + 12p = 5(p + -6) + -19 Combine like terms: -2p + 12p = 10p -9 + 10p = 5(p + -6) + -19 Reorder the terms: -9 + 10p = 5(-6 + p) + -19 -9 + 10p = (-6 * 5 + p * 5) + -19 -9 + 10p = (-30 + 5p) + -19 Reorder the terms: -9 + 10p = -30 + -19 + 5p Combine like terms: -30 + -19 = -49 -9 + 10p = -49 + 5p Solving -9 + 10p = -49 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. -9 + 10p + -5p = -49 + 5p + -5p Combine like terms: 10p + -5p = 5p -9 + 5p = -49 + 5p + -5p Combine like terms: 5p + -5p = 0 -9 + 5p = -49 + 0 -9 + 5p = -49 Add '9' to each side of the equation. -9 + 9 + 5p = -49 + 9 Combine like terms: -9 + 9 = 0 0 + 5p = -49 + 9 5p = -49 + 9 Combine like terms: -49 + 9 = -40 5p = -40 Divide each side by '5'. p = -8 Simplifying p = -8
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