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Simplifying P + -1(p + 6) = 5(p + -3) + 4p Reorder the terms: P + -1(6 + p) = 5(p + -3) + 4p P + (6 * -1 + p * -1) = 5(p + -3) + 4p P + (-6 + -1p) = 5(p + -3) + 4p Reorder the terms: -6 + P + -1p = 5(p + -3) + 4p Reorder the terms: -6 + P + -1p = 5(-3 + p) + 4p -6 + P + -1p = (-3 * 5 + p * 5) + 4p -6 + P + -1p = (-15 + 5p) + 4p Combine like terms: 5p + 4p = 9p -6 + P + -1p = -15 + 9p Solving -6 + P + -1p = -15 + 9p Solving for variable 'P'. Move all terms containing P to the left, all other terms to the right. Add '6' to each side of the equation. -6 + P + 6 + -1p = -15 + 6 + 9p Reorder the terms: -6 + 6 + P + -1p = -15 + 6 + 9p Combine like terms: -6 + 6 = 0 0 + P + -1p = -15 + 6 + 9p P + -1p = -15 + 6 + 9p Combine like terms: -15 + 6 = -9 P + -1p = -9 + 9p Add 'p' to each side of the equation. P + -1p + p = -9 + 9p + p Combine like terms: -1p + p = 0 P + 0 = -9 + 9p + p P = -9 + 9p + p Combine like terms: 9p + p = 10p P = -9 + 10p Simplifying P = -9 + 10p
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