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Simplifying 24 + -4p = -7(-6 + p) 24 + -4p = (-6 * -7 + p * -7) 24 + -4p = (42 + -7p) Solving 24 + -4p = 42 + -7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '7p' to each side of the equation. 24 + -4p + 7p = 42 + -7p + 7p Combine like terms: -4p + 7p = 3p 24 + 3p = 42 + -7p + 7p Combine like terms: -7p + 7p = 0 24 + 3p = 42 + 0 24 + 3p = 42 Add '-24' to each side of the equation. 24 + -24 + 3p = 42 + -24 Combine like terms: 24 + -24 = 0 0 + 3p = 42 + -24 3p = 42 + -24 Combine like terms: 42 + -24 = 18 3p = 18 Divide each side by '3'. p = 6 Simplifying p = 6
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