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Simplifying -3(6p + 5) + -2(2 + -14p) = 3(9 + 3p) Reorder the terms: -3(5 + 6p) + -2(2 + -14p) = 3(9 + 3p) (5 * -3 + 6p * -3) + -2(2 + -14p) = 3(9 + 3p) (-15 + -18p) + -2(2 + -14p) = 3(9 + 3p) -15 + -18p + (2 * -2 + -14p * -2) = 3(9 + 3p) -15 + -18p + (-4 + 28p) = 3(9 + 3p) Reorder the terms: -15 + -4 + -18p + 28p = 3(9 + 3p) Combine like terms: -15 + -4 = -19 -19 + -18p + 28p = 3(9 + 3p) Combine like terms: -18p + 28p = 10p -19 + 10p = 3(9 + 3p) -19 + 10p = (9 * 3 + 3p * 3) -19 + 10p = (27 + 9p) Solving -19 + 10p = 27 + 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. -19 + 10p + -9p = 27 + 9p + -9p Combine like terms: 10p + -9p = 1p -19 + 1p = 27 + 9p + -9p Combine like terms: 9p + -9p = 0 -19 + 1p = 27 + 0 -19 + 1p = 27 Add '19' to each side of the equation. -19 + 19 + 1p = 27 + 19 Combine like terms: -19 + 19 = 0 0 + 1p = 27 + 19 1p = 27 + 19 Combine like terms: 27 + 19 = 46 1p = 46 Divide each side by '1'. p = 46 Simplifying p = 46
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