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Simplifying -3(5p + 2) + -2(3 + -14p) = 3(7 + 4p) Reorder the terms: -3(2 + 5p) + -2(3 + -14p) = 3(7 + 4p) (2 * -3 + 5p * -3) + -2(3 + -14p) = 3(7 + 4p) (-6 + -15p) + -2(3 + -14p) = 3(7 + 4p) -6 + -15p + (3 * -2 + -14p * -2) = 3(7 + 4p) -6 + -15p + (-6 + 28p) = 3(7 + 4p) Reorder the terms: -6 + -6 + -15p + 28p = 3(7 + 4p) Combine like terms: -6 + -6 = -12 -12 + -15p + 28p = 3(7 + 4p) Combine like terms: -15p + 28p = 13p -12 + 13p = 3(7 + 4p) -12 + 13p = (7 * 3 + 4p * 3) -12 + 13p = (21 + 12p) Solving -12 + 13p = 21 + 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. -12 + 13p + -12p = 21 + 12p + -12p Combine like terms: 13p + -12p = 1p -12 + 1p = 21 + 12p + -12p Combine like terms: 12p + -12p = 0 -12 + 1p = 21 + 0 -12 + 1p = 21 Add '12' to each side of the equation. -12 + 12 + 1p = 21 + 12 Combine like terms: -12 + 12 = 0 0 + 1p = 21 + 12 1p = 21 + 12 Combine like terms: 21 + 12 = 33 1p = 33 Divide each side by '1'. p = 33 Simplifying p = 33
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