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Simplifying -3(4p + 5) + -2(3 + -14p) = 3(8 + 5p) Reorder the terms: -3(5 + 4p) + -2(3 + -14p) = 3(8 + 5p) (5 * -3 + 4p * -3) + -2(3 + -14p) = 3(8 + 5p) (-15 + -12p) + -2(3 + -14p) = 3(8 + 5p) -15 + -12p + (3 * -2 + -14p * -2) = 3(8 + 5p) -15 + -12p + (-6 + 28p) = 3(8 + 5p) Reorder the terms: -15 + -6 + -12p + 28p = 3(8 + 5p) Combine like terms: -15 + -6 = -21 -21 + -12p + 28p = 3(8 + 5p) Combine like terms: -12p + 28p = 16p -21 + 16p = 3(8 + 5p) -21 + 16p = (8 * 3 + 5p * 3) -21 + 16p = (24 + 15p) Solving -21 + 16p = 24 + 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. -21 + 16p + -15p = 24 + 15p + -15p Combine like terms: 16p + -15p = 1p -21 + 1p = 24 + 15p + -15p Combine like terms: 15p + -15p = 0 -21 + 1p = 24 + 0 -21 + 1p = 24 Add '21' to each side of the equation. -21 + 21 + 1p = 24 + 21 Combine like terms: -21 + 21 = 0 0 + 1p = 24 + 21 1p = 24 + 21 Combine like terms: 24 + 21 = 45 1p = 45 Divide each side by '1'. p = 45 Simplifying p = 45
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