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Simplifying -3(p + 6) + 4(p + 4) = -8 Reorder the terms: -3(6 + p) + 4(p + 4) = -8 (6 * -3 + p * -3) + 4(p + 4) = -8 (-18 + -3p) + 4(p + 4) = -8 Reorder the terms: -18 + -3p + 4(4 + p) = -8 -18 + -3p + (4 * 4 + p * 4) = -8 -18 + -3p + (16 + 4p) = -8 Reorder the terms: -18 + 16 + -3p + 4p = -8 Combine like terms: -18 + 16 = -2 -2 + -3p + 4p = -8 Combine like terms: -3p + 4p = 1p -2 + 1p = -8 Solving -2 + 1p = -8 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 1p = -8 + 2 Combine like terms: -2 + 2 = 0 0 + 1p = -8 + 2 1p = -8 + 2 Combine like terms: -8 + 2 = -6 1p = -6 Divide each side by '1'. p = -6 Simplifying p = -6
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