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Simplifying -3(5p + 3) + -2(6 + -14p) = 3(1 + 4p) Reorder the terms: -3(3 + 5p) + -2(6 + -14p) = 3(1 + 4p) (3 * -3 + 5p * -3) + -2(6 + -14p) = 3(1 + 4p) (-9 + -15p) + -2(6 + -14p) = 3(1 + 4p) -9 + -15p + (6 * -2 + -14p * -2) = 3(1 + 4p) -9 + -15p + (-12 + 28p) = 3(1 + 4p) Reorder the terms: -9 + -12 + -15p + 28p = 3(1 + 4p) Combine like terms: -9 + -12 = -21 -21 + -15p + 28p = 3(1 + 4p) Combine like terms: -15p + 28p = 13p -21 + 13p = 3(1 + 4p) -21 + 13p = (1 * 3 + 4p * 3) -21 + 13p = (3 + 12p) Solving -21 + 13p = 3 + 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. -21 + 13p + -12p = 3 + 12p + -12p Combine like terms: 13p + -12p = 1p -21 + 1p = 3 + 12p + -12p Combine like terms: 12p + -12p = 0 -21 + 1p = 3 + 0 -21 + 1p = 3 Add '21' to each side of the equation. -21 + 21 + 1p = 3 + 21 Combine like terms: -21 + 21 = 0 0 + 1p = 3 + 21 1p = 3 + 21 Combine like terms: 3 + 21 = 24 1p = 24 Divide each side by '1'. p = 24 Simplifying p = 24
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