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Simplifying 6 + -4(p + -6) = 9 + -5p Reorder the terms: 6 + -4(-6 + p) = 9 + -5p 6 + (-6 * -4 + p * -4) = 9 + -5p 6 + (24 + -4p) = 9 + -5p Combine like terms: 6 + 24 = 30 30 + -4p = 9 + -5p Solving 30 + -4p = 9 + -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. 30 + -4p + 5p = 9 + -5p + 5p Combine like terms: -4p + 5p = 1p 30 + 1p = 9 + -5p + 5p Combine like terms: -5p + 5p = 0 30 + 1p = 9 + 0 30 + 1p = 9 Add '-30' to each side of the equation. 30 + -30 + 1p = 9 + -30 Combine like terms: 30 + -30 = 0 0 + 1p = 9 + -30 1p = 9 + -30 Combine like terms: 9 + -30 = -21 1p = -21 Divide each side by '1'. p = -21 Simplifying p = -21
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