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Simplifying 6 + -4(p + -6) = 9 + -6p Reorder the terms: 6 + -4(-6 + p) = 9 + -6p 6 + (-6 * -4 + p * -4) = 9 + -6p 6 + (24 + -4p) = 9 + -6p Combine like terms: 6 + 24 = 30 30 + -4p = 9 + -6p Solving 30 + -4p = 9 + -6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '6p' to each side of the equation. 30 + -4p + 6p = 9 + -6p + 6p Combine like terms: -4p + 6p = 2p 30 + 2p = 9 + -6p + 6p Combine like terms: -6p + 6p = 0 30 + 2p = 9 + 0 30 + 2p = 9 Add '-30' to each side of the equation. 30 + -30 + 2p = 9 + -30 Combine like terms: 30 + -30 = 0 0 + 2p = 9 + -30 2p = 9 + -30 Combine like terms: 9 + -30 = -21 2p = -21 Divide each side by '2'. p = -10.5 Simplifying p = -10.5
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