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Simplifying 8 + 3(p + -4) = 2p + 2(p + 1) Reorder the terms: 8 + 3(-4 + p) = 2p + 2(p + 1) 8 + (-4 * 3 + p * 3) = 2p + 2(p + 1) 8 + (-12 + 3p) = 2p + 2(p + 1) Combine like terms: 8 + -12 = -4 -4 + 3p = 2p + 2(p + 1) Reorder the terms: -4 + 3p = 2p + 2(1 + p) -4 + 3p = 2p + (1 * 2 + p * 2) -4 + 3p = 2p + (2 + 2p) Reorder the terms: -4 + 3p = 2 + 2p + 2p Combine like terms: 2p + 2p = 4p -4 + 3p = 2 + 4p Solving -4 + 3p = 2 + 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. -4 + 3p + -4p = 2 + 4p + -4p Combine like terms: 3p + -4p = -1p -4 + -1p = 2 + 4p + -4p Combine like terms: 4p + -4p = 0 -4 + -1p = 2 + 0 -4 + -1p = 2 Add '4' to each side of the equation. -4 + 4 + -1p = 2 + 4 Combine like terms: -4 + 4 = 0 0 + -1p = 2 + 4 -1p = 2 + 4 Combine like terms: 2 + 4 = 6 -1p = 6 Divide each side by '-1'. p = -6 Simplifying p = -6
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