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Simplifying -7p + -4(6 + -4p) = 5(p + -3) + -17 -7p + (6 * -4 + -4p * -4) = 5(p + -3) + -17 -7p + (-24 + 16p) = 5(p + -3) + -17 Reorder the terms: -24 + -7p + 16p = 5(p + -3) + -17 Combine like terms: -7p + 16p = 9p -24 + 9p = 5(p + -3) + -17 Reorder the terms: -24 + 9p = 5(-3 + p) + -17 -24 + 9p = (-3 * 5 + p * 5) + -17 -24 + 9p = (-15 + 5p) + -17 Reorder the terms: -24 + 9p = -15 + -17 + 5p Combine like terms: -15 + -17 = -32 -24 + 9p = -32 + 5p Solving -24 + 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. -24 + 9p + -5p = -32 + 5p + -5p Combine like terms: 9p + -5p = 4p -24 + 4p = -32 + 5p + -5p Combine like terms: 5p + -5p = 0 -24 + 4p = -32 + 0 -24 + 4p = -32 Add '24' to each side of the equation. -24 + 24 + 4p = -32 + 24 Combine like terms: -24 + 24 = 0 0 + 4p = -32 + 24 4p = -32 + 24 Combine like terms: -32 + 24 = -8 4p = -8 Divide each side by '4'. p = -2 Simplifying p = -2
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