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Simplifying -3(5p + 5) + -2(5 + -14p) = 3(6 + 4p) Reorder the terms: -3(5 + 5p) + -2(5 + -14p) = 3(6 + 4p) (5 * -3 + 5p * -3) + -2(5 + -14p) = 3(6 + 4p) (-15 + -15p) + -2(5 + -14p) = 3(6 + 4p) -15 + -15p + (5 * -2 + -14p * -2) = 3(6 + 4p) -15 + -15p + (-10 + 28p) = 3(6 + 4p) Reorder the terms: -15 + -10 + -15p + 28p = 3(6 + 4p) Combine like terms: -15 + -10 = -25 -25 + -15p + 28p = 3(6 + 4p) Combine like terms: -15p + 28p = 13p -25 + 13p = 3(6 + 4p) -25 + 13p = (6 * 3 + 4p * 3) -25 + 13p = (18 + 12p) Solving -25 + 13p = 18 + 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. -25 + 13p + -12p = 18 + 12p + -12p Combine like terms: 13p + -12p = 1p -25 + 1p = 18 + 12p + -12p Combine like terms: 12p + -12p = 0 -25 + 1p = 18 + 0 -25 + 1p = 18 Add '25' to each side of the equation. -25 + 25 + 1p = 18 + 25 Combine like terms: -25 + 25 = 0 0 + 1p = 18 + 25 1p = 18 + 25 Combine like terms: 18 + 25 = 43 1p = 43 Divide each side by '1'. p = 43 Simplifying p = 43
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