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Simplifying 4(7p + -6) = 8(3p + -9) Reorder the terms: 4(-6 + 7p) = 8(3p + -9) (-6 * 4 + 7p * 4) = 8(3p + -9) (-24 + 28p) = 8(3p + -9) Reorder the terms: -24 + 28p = 8(-9 + 3p) -24 + 28p = (-9 * 8 + 3p * 8) -24 + 28p = (-72 + 24p) Solving -24 + 28p = -72 + 24p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-24p' to each side of the equation. -24 + 28p + -24p = -72 + 24p + -24p Combine like terms: 28p + -24p = 4p -24 + 4p = -72 + 24p + -24p Combine like terms: 24p + -24p = 0 -24 + 4p = -72 + 0 -24 + 4p = -72 Add '24' to each side of the equation. -24 + 24 + 4p = -72 + 24 Combine like terms: -24 + 24 = 0 0 + 4p = -72 + 24 4p = -72 + 24 Combine like terms: -72 + 24 = -48 4p = -48 Divide each side by '4'. p = -12 Simplifying p = -12
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