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Simplifying 12p + -6(3p + 4) + -1(4 + -1p) = 0 Reorder the terms: 12p + -6(4 + 3p) + -1(4 + -1p) = 0 12p + (4 * -6 + 3p * -6) + -1(4 + -1p) = 0 12p + (-24 + -18p) + -1(4 + -1p) = 0 12p + -24 + -18p + (4 * -1 + -1p * -1) = 0 12p + -24 + -18p + (-4 + 1p) = 0 Reorder the terms: -24 + -4 + 12p + -18p + 1p = 0 Combine like terms: -24 + -4 = -28 -28 + 12p + -18p + 1p = 0 Combine like terms: 12p + -18p = -6p -28 + -6p + 1p = 0 Combine like terms: -6p + 1p = -5p -28 + -5p = 0 Solving -28 + -5p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + -5p = 0 + 28 Combine like terms: -28 + 28 = 0 0 + -5p = 0 + 28 -5p = 0 + 28 Combine like terms: 0 + 28 = 28 -5p = 28 Divide each side by '-5'. p = -5.6 Simplifying p = -5.6
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