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Simplifying -3(4p + 2) + -2(2 + -14p) = 3(3 + 5p) Reorder the terms: -3(2 + 4p) + -2(2 + -14p) = 3(3 + 5p) (2 * -3 + 4p * -3) + -2(2 + -14p) = 3(3 + 5p) (-6 + -12p) + -2(2 + -14p) = 3(3 + 5p) -6 + -12p + (2 * -2 + -14p * -2) = 3(3 + 5p) -6 + -12p + (-4 + 28p) = 3(3 + 5p) Reorder the terms: -6 + -4 + -12p + 28p = 3(3 + 5p) Combine like terms: -6 + -4 = -10 -10 + -12p + 28p = 3(3 + 5p) Combine like terms: -12p + 28p = 16p -10 + 16p = 3(3 + 5p) -10 + 16p = (3 * 3 + 5p * 3) -10 + 16p = (9 + 15p) Solving -10 + 16p = 9 + 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. -10 + 16p + -15p = 9 + 15p + -15p Combine like terms: 16p + -15p = 1p -10 + 1p = 9 + 15p + -15p Combine like terms: 15p + -15p = 0 -10 + 1p = 9 + 0 -10 + 1p = 9 Add '10' to each side of the equation. -10 + 10 + 1p = 9 + 10 Combine like terms: -10 + 10 = 0 0 + 1p = 9 + 10 1p = 9 + 10 Combine like terms: 9 + 10 = 19 1p = 19 Divide each side by '1'. p = 19 Simplifying p = 19
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