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Simplifying -3(5p + 4) + -2(2 + -14) * p = 3(6 + 4p) Reorder the terms: -3(4 + 5p) + -2(2 + -14) * p = 3(6 + 4p) (4 * -3 + 5p * -3) + -2(2 + -14) * p = 3(6 + 4p) (-12 + -15p) + -2(2 + -14) * p = 3(6 + 4p) Combine like terms: 2 + -14 = -12 -12 + -15p + -2(-12) * p = 3(6 + 4p) Multiply -2 * -12 -12 + -15p + 24p = 3(6 + 4p) Combine like terms: -15p + 24p = 9p -12 + 9p = 3(6 + 4p) -12 + 9p = (6 * 3 + 4p * 3) -12 + 9p = (18 + 12p) Solving -12 + 9p = 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. -12 + 9p + -12p = 18 + 12p + -12p Combine like terms: 9p + -12p = -3p -12 + -3p = 18 + 12p + -12p Combine like terms: 12p + -12p = 0 -12 + -3p = 18 + 0 -12 + -3p = 18 Add '12' to each side of the equation. -12 + 12 + -3p = 18 + 12 Combine like terms: -12 + 12 = 0 0 + -3p = 18 + 12 -3p = 18 + 12 Combine like terms: 18 + 12 = 30 -3p = 30 Divide each side by '-3'. p = -10 Simplifying p = -10
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