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Simplifying -3p + -2(6 + -5p) = 3(p + -2) + -14 -3p + (6 * -2 + -5p * -2) = 3(p + -2) + -14 -3p + (-12 + 10p) = 3(p + -2) + -14 Reorder the terms: -12 + -3p + 10p = 3(p + -2) + -14 Combine like terms: -3p + 10p = 7p -12 + 7p = 3(p + -2) + -14 Reorder the terms: -12 + 7p = 3(-2 + p) + -14 -12 + 7p = (-2 * 3 + p * 3) + -14 -12 + 7p = (-6 + 3p) + -14 Reorder the terms: -12 + 7p = -6 + -14 + 3p Combine like terms: -6 + -14 = -20 -12 + 7p = -20 + 3p Solving -12 + 7p = -20 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. -12 + 7p + -3p = -20 + 3p + -3p Combine like terms: 7p + -3p = 4p -12 + 4p = -20 + 3p + -3p Combine like terms: 3p + -3p = 0 -12 + 4p = -20 + 0 -12 + 4p = -20 Add '12' to each side of the equation. -12 + 12 + 4p = -20 + 12 Combine like terms: -12 + 12 = 0 0 + 4p = -20 + 12 4p = -20 + 12 Combine like terms: -20 + 12 = -8 4p = -8 Divide each side by '4'. p = -2 Simplifying p = -2
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