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Simplifying p + -3(p + 4) = 2(p + 1) Reorder the terms: p + -3(4 + p) = 2(p + 1) p + (4 * -3 + p * -3) = 2(p + 1) p + (-12 + -3p) = 2(p + 1) Reorder the terms: -12 + p + -3p = 2(p + 1) Combine like terms: p + -3p = -2p -12 + -2p = 2(p + 1) Reorder the terms: -12 + -2p = 2(1 + p) -12 + -2p = (1 * 2 + p * 2) -12 + -2p = (2 + 2p) Solving -12 + -2p = 2 + 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. -12 + -2p + -2p = 2 + 2p + -2p Combine like terms: -2p + -2p = -4p -12 + -4p = 2 + 2p + -2p Combine like terms: 2p + -2p = 0 -12 + -4p = 2 + 0 -12 + -4p = 2 Add '12' to each side of the equation. -12 + 12 + -4p = 2 + 12 Combine like terms: -12 + 12 = 0 0 + -4p = 2 + 12 -4p = 2 + 12 Combine like terms: 2 + 12 = 14 -4p = 14 Divide each side by '-4'. p = -3.5 Simplifying p = -3.5
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