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Simplifying -3(4p + 4) + -2(4 + -14p) = 3(2 + 5p) Reorder the terms: -3(4 + 4p) + -2(4 + -14p) = 3(2 + 5p) (4 * -3 + 4p * -3) + -2(4 + -14p) = 3(2 + 5p) (-12 + -12p) + -2(4 + -14p) = 3(2 + 5p) -12 + -12p + (4 * -2 + -14p * -2) = 3(2 + 5p) -12 + -12p + (-8 + 28p) = 3(2 + 5p) Reorder the terms: -12 + -8 + -12p + 28p = 3(2 + 5p) Combine like terms: -12 + -8 = -20 -20 + -12p + 28p = 3(2 + 5p) Combine like terms: -12p + 28p = 16p -20 + 16p = 3(2 + 5p) -20 + 16p = (2 * 3 + 5p * 3) -20 + 16p = (6 + 15p) Solving -20 + 16p = 6 + 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. -20 + 16p + -15p = 6 + 15p + -15p Combine like terms: 16p + -15p = 1p -20 + 1p = 6 + 15p + -15p Combine like terms: 15p + -15p = 0 -20 + 1p = 6 + 0 -20 + 1p = 6 Add '20' to each side of the equation. -20 + 20 + 1p = 6 + 20 Combine like terms: -20 + 20 = 0 0 + 1p = 6 + 20 1p = 6 + 20 Combine like terms: 6 + 20 = 26 1p = 26 Divide each side by '1'. p = 26 Simplifying p = 26
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