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Simplifying -3(3p + 5) + -2(5 + -14p) = 3(2 + 6p) Reorder the terms: -3(5 + 3p) + -2(5 + -14p) = 3(2 + 6p) (5 * -3 + 3p * -3) + -2(5 + -14p) = 3(2 + 6p) (-15 + -9p) + -2(5 + -14p) = 3(2 + 6p) -15 + -9p + (5 * -2 + -14p * -2) = 3(2 + 6p) -15 + -9p + (-10 + 28p) = 3(2 + 6p) Reorder the terms: -15 + -10 + -9p + 28p = 3(2 + 6p) Combine like terms: -15 + -10 = -25 -25 + -9p + 28p = 3(2 + 6p) Combine like terms: -9p + 28p = 19p -25 + 19p = 3(2 + 6p) -25 + 19p = (2 * 3 + 6p * 3) -25 + 19p = (6 + 18p) Solving -25 + 19p = 6 + 18p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-18p' to each side of the equation. -25 + 19p + -18p = 6 + 18p + -18p Combine like terms: 19p + -18p = 1p -25 + 1p = 6 + 18p + -18p Combine like terms: 18p + -18p = 0 -25 + 1p = 6 + 0 -25 + 1p = 6 Add '25' to each side of the equation. -25 + 25 + 1p = 6 + 25 Combine like terms: -25 + 25 = 0 0 + 1p = 6 + 25 1p = 6 + 25 Combine like terms: 6 + 25 = 31 1p = 31 Divide each side by '1'. p = 31 Simplifying p = 31
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