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Simplifying -3(7p + 5) + -2(2 + -20p) = 3(7 + 6p) Reorder the terms: -3(5 + 7p) + -2(2 + -20p) = 3(7 + 6p) (5 * -3 + 7p * -3) + -2(2 + -20p) = 3(7 + 6p) (-15 + -21p) + -2(2 + -20p) = 3(7 + 6p) -15 + -21p + (2 * -2 + -20p * -2) = 3(7 + 6p) -15 + -21p + (-4 + 40p) = 3(7 + 6p) Reorder the terms: -15 + -4 + -21p + 40p = 3(7 + 6p) Combine like terms: -15 + -4 = -19 -19 + -21p + 40p = 3(7 + 6p) Combine like terms: -21p + 40p = 19p -19 + 19p = 3(7 + 6p) -19 + 19p = (7 * 3 + 6p * 3) -19 + 19p = (21 + 18p) Solving -19 + 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. -19 + 19p + -18p = 21 + 18p + -18p Combine like terms: 19p + -18p = 1p -19 + 1p = 21 + 18p + -18p Combine like terms: 18p + -18p = 0 -19 + 1p = 21 + 0 -19 + 1p = 21 Add '19' to each side of the equation. -19 + 19 + 1p = 21 + 19 Combine like terms: -19 + 19 = 0 0 + 1p = 21 + 19 1p = 21 + 19 Combine like terms: 21 + 19 = 40 1p = 40 Divide each side by '1'. p = 40 Simplifying p = 40
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