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Simplifying -3(5p + 2) + -2(4 + -14p) = 3(3 + 4p) Reorder the terms: -3(2 + 5p) + -2(4 + -14p) = 3(3 + 4p) (2 * -3 + 5p * -3) + -2(4 + -14p) = 3(3 + 4p) (-6 + -15p) + -2(4 + -14p) = 3(3 + 4p) -6 + -15p + (4 * -2 + -14p * -2) = 3(3 + 4p) -6 + -15p + (-8 + 28p) = 3(3 + 4p) Reorder the terms: -6 + -8 + -15p + 28p = 3(3 + 4p) Combine like terms: -6 + -8 = -14 -14 + -15p + 28p = 3(3 + 4p) Combine like terms: -15p + 28p = 13p -14 + 13p = 3(3 + 4p) -14 + 13p = (3 * 3 + 4p * 3) -14 + 13p = (9 + 12p) Solving -14 + 13p = 9 + 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. -14 + 13p + -12p = 9 + 12p + -12p Combine like terms: 13p + -12p = 1p -14 + 1p = 9 + 12p + -12p Combine like terms: 12p + -12p = 0 -14 + 1p = 9 + 0 -14 + 1p = 9 Add '14' to each side of the equation. -14 + 14 + 1p = 9 + 14 Combine like terms: -14 + 14 = 0 0 + 1p = 9 + 14 1p = 9 + 14 Combine like terms: 9 + 14 = 23 1p = 23 Divide each side by '1'. p = 23 Simplifying p = 23
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