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Simplifying -3(5p + 4) + -2(3 + -14p) = 3(2 + 4p) Reorder the terms: -3(4 + 5p) + -2(3 + -14p) = 3(2 + 4p) (4 * -3 + 5p * -3) + -2(3 + -14p) = 3(2 + 4p) (-12 + -15p) + -2(3 + -14p) = 3(2 + 4p) -12 + -15p + (3 * -2 + -14p * -2) = 3(2 + 4p) -12 + -15p + (-6 + 28p) = 3(2 + 4p) Reorder the terms: -12 + -6 + -15p + 28p = 3(2 + 4p) Combine like terms: -12 + -6 = -18 -18 + -15p + 28p = 3(2 + 4p) Combine like terms: -15p + 28p = 13p -18 + 13p = 3(2 + 4p) -18 + 13p = (2 * 3 + 4p * 3) -18 + 13p = (6 + 12p) Solving -18 + 13p = 6 + 12p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-12p' to each side of the equation. -18 + 13p + -12p = 6 + 12p + -12p Combine like terms: 13p + -12p = 1p -18 + 1p = 6 + 12p + -12p Combine like terms: 12p + -12p = 0 -18 + 1p = 6 + 0 -18 + 1p = 6 Add '18' to each side of the equation. -18 + 18 + 1p = 6 + 18 Combine like terms: -18 + 18 = 0 0 + 1p = 6 + 18 1p = 6 + 18 Combine like terms: 6 + 18 = 24 1p = 24 Divide each side by '1'. p = 24 Simplifying p = 24
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