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Simplifying 24 + -7p = 2p + -3(2p + -6) Reorder the terms: 24 + -7p = 2p + -3(-6 + 2p) 24 + -7p = 2p + (-6 * -3 + 2p * -3) 24 + -7p = 2p + (18 + -6p) Reorder the terms: 24 + -7p = 18 + 2p + -6p Combine like terms: 2p + -6p = -4p 24 + -7p = 18 + -4p Solving 24 + -7p = 18 + -4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '4p' to each side of the equation. 24 + -7p + 4p = 18 + -4p + 4p Combine like terms: -7p + 4p = -3p 24 + -3p = 18 + -4p + 4p Combine like terms: -4p + 4p = 0 24 + -3p = 18 + 0 24 + -3p = 18 Add '-24' to each side of the equation. 24 + -24 + -3p = 18 + -24 Combine like terms: 24 + -24 = 0 0 + -3p = 18 + -24 -3p = 18 + -24 Combine like terms: 18 + -24 = -6 -3p = -6 Divide each side by '-3'. p = 2 Simplifying p = 2
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