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Simplifying -3(8p + 6) + -2(2 + -20p) = 3(1 + 5p) Reorder the terms: -3(6 + 8p) + -2(2 + -20p) = 3(1 + 5p) (6 * -3 + 8p * -3) + -2(2 + -20p) = 3(1 + 5p) (-18 + -24p) + -2(2 + -20p) = 3(1 + 5p) -18 + -24p + (2 * -2 + -20p * -2) = 3(1 + 5p) -18 + -24p + (-4 + 40p) = 3(1 + 5p) Reorder the terms: -18 + -4 + -24p + 40p = 3(1 + 5p) Combine like terms: -18 + -4 = -22 -22 + -24p + 40p = 3(1 + 5p) Combine like terms: -24p + 40p = 16p -22 + 16p = 3(1 + 5p) -22 + 16p = (1 * 3 + 5p * 3) -22 + 16p = (3 + 15p) Solving -22 + 16p = 3 + 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. -22 + 16p + -15p = 3 + 15p + -15p Combine like terms: 16p + -15p = 1p -22 + 1p = 3 + 15p + -15p Combine like terms: 15p + -15p = 0 -22 + 1p = 3 + 0 -22 + 1p = 3 Add '22' to each side of the equation. -22 + 22 + 1p = 3 + 22 Combine like terms: -22 + 22 = 0 0 + 1p = 3 + 22 1p = 3 + 22 Combine like terms: 3 + 22 = 25 1p = 25 Divide each side by '1'. p = 25 Simplifying p = 25
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