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Simplifying 3p + -2(6 + -3p) = 5(p + -3) + -17 3p + (6 * -2 + -3p * -2) = 5(p + -3) + -17 3p + (-12 + 6p) = 5(p + -3) + -17 Reorder the terms: -12 + 3p + 6p = 5(p + -3) + -17 Combine like terms: 3p + 6p = 9p -12 + 9p = 5(p + -3) + -17 Reorder the terms: -12 + 9p = 5(-3 + p) + -17 -12 + 9p = (-3 * 5 + p * 5) + -17 -12 + 9p = (-15 + 5p) + -17 Reorder the terms: -12 + 9p = -15 + -17 + 5p Combine like terms: -15 + -17 = -32 -12 + 9p = -32 + 5p Solving -12 + 9p = -32 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. -12 + 9p + -5p = -32 + 5p + -5p Combine like terms: 9p + -5p = 4p -12 + 4p = -32 + 5p + -5p Combine like terms: 5p + -5p = 0 -12 + 4p = -32 + 0 -12 + 4p = -32 Add '12' to each side of the equation. -12 + 12 + 4p = -32 + 12 Combine like terms: -12 + 12 = 0 0 + 4p = -32 + 12 4p = -32 + 12 Combine like terms: -32 + 12 = -20 4p = -20 Divide each side by '4'. p = -5 Simplifying p = -5
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