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Simplifying -3(5p + 5) + -2(4 + -14p) = 3(2 + 4p) Reorder the terms: -3(5 + 5p) + -2(4 + -14p) = 3(2 + 4p) (5 * -3 + 5p * -3) + -2(4 + -14p) = 3(2 + 4p) (-15 + -15p) + -2(4 + -14p) = 3(2 + 4p) -15 + -15p + (4 * -2 + -14p * -2) = 3(2 + 4p) -15 + -15p + (-8 + 28p) = 3(2 + 4p) Reorder the terms: -15 + -8 + -15p + 28p = 3(2 + 4p) Combine like terms: -15 + -8 = -23 -23 + -15p + 28p = 3(2 + 4p) Combine like terms: -15p + 28p = 13p -23 + 13p = 3(2 + 4p) -23 + 13p = (2 * 3 + 4p * 3) -23 + 13p = (6 + 12p) Solving -23 + 13p = 6 + 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. -23 + 13p + -12p = 6 + 12p + -12p Combine like terms: 13p + -12p = 1p -23 + 1p = 6 + 12p + -12p Combine like terms: 12p + -12p = 0 -23 + 1p = 6 + 0 -23 + 1p = 6 Add '23' to each side of the equation. -23 + 23 + 1p = 6 + 23 Combine like terms: -23 + 23 = 0 0 + 1p = 6 + 23 1p = 6 + 23 Combine like terms: 6 + 23 = 29 1p = 29 Divide each side by '1'. p = 29 Simplifying p = 29
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