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Simplifying -3(6p + 6) + -2(5 + -17p) = 3(7 + 5p) Reorder the terms: -3(6 + 6p) + -2(5 + -17p) = 3(7 + 5p) (6 * -3 + 6p * -3) + -2(5 + -17p) = 3(7 + 5p) (-18 + -18p) + -2(5 + -17p) = 3(7 + 5p) -18 + -18p + (5 * -2 + -17p * -2) = 3(7 + 5p) -18 + -18p + (-10 + 34p) = 3(7 + 5p) Reorder the terms: -18 + -10 + -18p + 34p = 3(7 + 5p) Combine like terms: -18 + -10 = -28 -28 + -18p + 34p = 3(7 + 5p) Combine like terms: -18p + 34p = 16p -28 + 16p = 3(7 + 5p) -28 + 16p = (7 * 3 + 5p * 3) -28 + 16p = (21 + 15p) Solving -28 + 16p = 21 + 15p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-15p' to each side of the equation. -28 + 16p + -15p = 21 + 15p + -15p Combine like terms: 16p + -15p = 1p -28 + 1p = 21 + 15p + -15p Combine like terms: 15p + -15p = 0 -28 + 1p = 21 + 0 -28 + 1p = 21 Add '28' to each side of the equation. -28 + 28 + 1p = 21 + 28 Combine like terms: -28 + 28 = 0 0 + 1p = 21 + 28 1p = 21 + 28 Combine like terms: 21 + 28 = 49 1p = 49 Divide each side by '1'. p = 49 Simplifying p = 49
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