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Simplifying -3(3p + 5) + -2(3 + -14p) = 3(3 + 6p) Reorder the terms: -3(5 + 3p) + -2(3 + -14p) = 3(3 + 6p) (5 * -3 + 3p * -3) + -2(3 + -14p) = 3(3 + 6p) (-15 + -9p) + -2(3 + -14p) = 3(3 + 6p) -15 + -9p + (3 * -2 + -14p * -2) = 3(3 + 6p) -15 + -9p + (-6 + 28p) = 3(3 + 6p) Reorder the terms: -15 + -6 + -9p + 28p = 3(3 + 6p) Combine like terms: -15 + -6 = -21 -21 + -9p + 28p = 3(3 + 6p) Combine like terms: -9p + 28p = 19p -21 + 19p = 3(3 + 6p) -21 + 19p = (3 * 3 + 6p * 3) -21 + 19p = (9 + 18p) Solving -21 + 19p = 9 + 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. -21 + 19p + -18p = 9 + 18p + -18p Combine like terms: 19p + -18p = 1p -21 + 1p = 9 + 18p + -18p Combine like terms: 18p + -18p = 0 -21 + 1p = 9 + 0 -21 + 1p = 9 Add '21' to each side of the equation. -21 + 21 + 1p = 9 + 21 Combine like terms: -21 + 21 = 0 0 + 1p = 9 + 21 1p = 9 + 21 Combine like terms: 9 + 21 = 30 1p = 30 Divide each side by '1'. p = 30 Simplifying p = 30
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