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