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Simplifying -2 = -4(p + 3) + -2(1 + -3p) Reorder the terms: -2 = -4(3 + p) + -2(1 + -3p) -2 = (3 * -4 + p * -4) + -2(1 + -3p) -2 = (-12 + -4p) + -2(1 + -3p) -2 = -12 + -4p + (1 * -2 + -3p * -2) -2 = -12 + -4p + (-2 + 6p) Reorder the terms: -2 = -12 + -2 + -4p + 6p Combine like terms: -12 + -2 = -14 -2 = -14 + -4p + 6p Combine like terms: -4p + 6p = 2p -2 = -14 + 2p Solving -2 = -14 + 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. -2 + -2p = -14 + 2p + -2p Combine like terms: 2p + -2p = 0 -2 + -2p = -14 + 0 -2 + -2p = -14 Add '2' to each side of the equation. -2 + 2 + -2p = -14 + 2 Combine like terms: -2 + 2 = 0 0 + -2p = -14 + 2 -2p = -14 + 2 Combine like terms: -14 + 2 = -12 -2p = -12 Divide each side by '-2'. p = 6 Simplifying p = 6
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