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Simplifying -3(5p + 5) + -2(3 + -17p) = 3(7 + 6p) Reorder the terms: -3(5 + 5p) + -2(3 + -17p) = 3(7 + 6p) (5 * -3 + 5p * -3) + -2(3 + -17p) = 3(7 + 6p) (-15 + -15p) + -2(3 + -17p) = 3(7 + 6p) -15 + -15p + (3 * -2 + -17p * -2) = 3(7 + 6p) -15 + -15p + (-6 + 34p) = 3(7 + 6p) Reorder the terms: -15 + -6 + -15p + 34p = 3(7 + 6p) Combine like terms: -15 + -6 = -21 -21 + -15p + 34p = 3(7 + 6p) Combine like terms: -15p + 34p = 19p -21 + 19p = 3(7 + 6p) -21 + 19p = (7 * 3 + 6p * 3) -21 + 19p = (21 + 18p) Solving -21 + 19p = 21 + 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 = 21 + 18p + -18p Combine like terms: 19p + -18p = 1p -21 + 1p = 21 + 18p + -18p Combine like terms: 18p + -18p = 0 -21 + 1p = 21 + 0 -21 + 1p = 21 Add '21' to each side of the equation. -21 + 21 + 1p = 21 + 21 Combine like terms: -21 + 21 = 0 0 + 1p = 21 + 21 1p = 21 + 21 Combine like terms: 21 + 21 = 42 1p = 42 Divide each side by '1'. p = 42 Simplifying p = 42
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