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Simplifying -3(4p + 4) + -2(3 + -14p) = 3(6 + 5p) Reorder the terms: -3(4 + 4p) + -2(3 + -14p) = 3(6 + 5p) (4 * -3 + 4p * -3) + -2(3 + -14p) = 3(6 + 5p) (-12 + -12p) + -2(3 + -14p) = 3(6 + 5p) -12 + -12p + (3 * -2 + -14p * -2) = 3(6 + 5p) -12 + -12p + (-6 + 28p) = 3(6 + 5p) Reorder the terms: -12 + -6 + -12p + 28p = 3(6 + 5p) Combine like terms: -12 + -6 = -18 -18 + -12p + 28p = 3(6 + 5p) Combine like terms: -12p + 28p = 16p -18 + 16p = 3(6 + 5p) -18 + 16p = (6 * 3 + 5p * 3) -18 + 16p = (18 + 15p) Solving -18 + 16p = 18 + 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. -18 + 16p + -15p = 18 + 15p + -15p Combine like terms: 16p + -15p = 1p -18 + 1p = 18 + 15p + -15p Combine like terms: 15p + -15p = 0 -18 + 1p = 18 + 0 -18 + 1p = 18 Add '18' to each side of the equation. -18 + 18 + 1p = 18 + 18 Combine like terms: -18 + 18 = 0 0 + 1p = 18 + 18 1p = 18 + 18 Combine like terms: 18 + 18 = 36 1p = 36 Divide each side by '1'. p = 36 Simplifying p = 36
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