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Simplifying 5 + -3(2p + -4) + -1(4p + 5) = -2 Reorder the terms: 5 + -3(-4 + 2p) + -1(4p + 5) = -2 5 + (-4 * -3 + 2p * -3) + -1(4p + 5) = -2 5 + (12 + -6p) + -1(4p + 5) = -2 Reorder the terms: 5 + 12 + -6p + -1(5 + 4p) = -2 5 + 12 + -6p + (5 * -1 + 4p * -1) = -2 5 + 12 + -6p + (-5 + -4p) = -2 Reorder the terms: 5 + 12 + -5 + -6p + -4p = -2 Combine like terms: 5 + 12 = 17 17 + -5 + -6p + -4p = -2 Combine like terms: 17 + -5 = 12 12 + -6p + -4p = -2 Combine like terms: -6p + -4p = -10p 12 + -10p = -2 Solving 12 + -10p = -2 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -10p = -2 + -12 Combine like terms: 12 + -12 = 0 0 + -10p = -2 + -12 -10p = -2 + -12 Combine like terms: -2 + -12 = -14 -10p = -14 Divide each side by '-10'. p = 1.4 Simplifying p = 1.4
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