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Simplifying P + -1(p + -24) = 6(p + -4) + 3p Reorder the terms: P + -1(-24 + p) = 6(p + -4) + 3p P + (-24 * -1 + p * -1) = 6(p + -4) + 3p P + (24 + -1p) = 6(p + -4) + 3p Reorder the terms: 24 + P + -1p = 6(p + -4) + 3p Reorder the terms: 24 + P + -1p = 6(-4 + p) + 3p 24 + P + -1p = (-4 * 6 + p * 6) + 3p 24 + P + -1p = (-24 + 6p) + 3p Combine like terms: 6p + 3p = 9p 24 + P + -1p = -24 + 9p Solving 24 + P + -1p = -24 + 9p Solving for variable 'P'. Move all terms containing P to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + P + -24 + -1p = -24 + -24 + 9p Reorder the terms: 24 + -24 + P + -1p = -24 + -24 + 9p Combine like terms: 24 + -24 = 0 0 + P + -1p = -24 + -24 + 9p P + -1p = -24 + -24 + 9p Combine like terms: -24 + -24 = -48 P + -1p = -48 + 9p Add 'p' to each side of the equation. P + -1p + p = -48 + 9p + p Combine like terms: -1p + p = 0 P + 0 = -48 + 9p + p P = -48 + 9p + p Combine like terms: 9p + p = 10p P = -48 + 10p Simplifying P = -48 + 10p
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