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Simplifying P + -1(p + 7) = 5(p + -3) + 3p Reorder the terms: P + -1(7 + p) = 5(p + -3) + 3p P + (7 * -1 + p * -1) = 5(p + -3) + 3p P + (-7 + -1p) = 5(p + -3) + 3p Reorder the terms: -7 + P + -1p = 5(p + -3) + 3p Reorder the terms: -7 + P + -1p = 5(-3 + p) + 3p -7 + P + -1p = (-3 * 5 + p * 5) + 3p -7 + P + -1p = (-15 + 5p) + 3p Combine like terms: 5p + 3p = 8p -7 + P + -1p = -15 + 8p Solving -7 + P + -1p = -15 + 8p Solving for variable 'P'. Move all terms containing P to the left, all other terms to the right. Add '7' to each side of the equation. -7 + P + 7 + -1p = -15 + 7 + 8p Reorder the terms: -7 + 7 + P + -1p = -15 + 7 + 8p Combine like terms: -7 + 7 = 0 0 + P + -1p = -15 + 7 + 8p P + -1p = -15 + 7 + 8p Combine like terms: -15 + 7 = -8 P + -1p = -8 + 8p Add 'p' to each side of the equation. P + -1p + p = -8 + 8p + p Combine like terms: -1p + p = 0 P + 0 = -8 + 8p + p P = -8 + 8p + p Combine like terms: 8p + p = 9p P = -8 + 9p Simplifying P = -8 + 9p
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