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Simplifying -3(6p + 2) + -2(6 + -14p) = 3(8 + 3p) Reorder the terms: -3(2 + 6p) + -2(6 + -14p) = 3(8 + 3p) (2 * -3 + 6p * -3) + -2(6 + -14p) = 3(8 + 3p) (-6 + -18p) + -2(6 + -14p) = 3(8 + 3p) -6 + -18p + (6 * -2 + -14p * -2) = 3(8 + 3p) -6 + -18p + (-12 + 28p) = 3(8 + 3p) Reorder the terms: -6 + -12 + -18p + 28p = 3(8 + 3p) Combine like terms: -6 + -12 = -18 -18 + -18p + 28p = 3(8 + 3p) Combine like terms: -18p + 28p = 10p -18 + 10p = 3(8 + 3p) -18 + 10p = (8 * 3 + 3p * 3) -18 + 10p = (24 + 9p) Solving -18 + 10p = 24 + 9p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-9p' to each side of the equation. -18 + 10p + -9p = 24 + 9p + -9p Combine like terms: 10p + -9p = 1p -18 + 1p = 24 + 9p + -9p Combine like terms: 9p + -9p = 0 -18 + 1p = 24 + 0 -18 + 1p = 24 Add '18' to each side of the equation. -18 + 18 + 1p = 24 + 18 Combine like terms: -18 + 18 = 0 0 + 1p = 24 + 18 1p = 24 + 18 Combine like terms: 24 + 18 = 42 1p = 42 Divide each side by '1'. p = 42 Simplifying p = 42
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