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Simplifying 2p + -5(p + -4) = 2p + 12 Reorder the terms: 2p + -5(-4 + p) = 2p + 12 2p + (-4 * -5 + p * -5) = 2p + 12 2p + (20 + -5p) = 2p + 12 Reorder the terms: 20 + 2p + -5p = 2p + 12 Combine like terms: 2p + -5p = -3p 20 + -3p = 2p + 12 Reorder the terms: 20 + -3p = 12 + 2p Solving 20 + -3p = 12 + 2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. 20 + -3p + -2p = 12 + 2p + -2p Combine like terms: -3p + -2p = -5p 20 + -5p = 12 + 2p + -2p Combine like terms: 2p + -2p = 0 20 + -5p = 12 + 0 20 + -5p = 12 Add '-20' to each side of the equation. 20 + -20 + -5p = 12 + -20 Combine like terms: 20 + -20 = 0 0 + -5p = 12 + -20 -5p = 12 + -20 Combine like terms: 12 + -20 = -8 -5p = -8 Divide each side by '-5'. p = 1.6 Simplifying p = 1.6
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