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Simplifying P + -1(p + 9) = 7(p + -3) + 5p Reorder the terms: P + -1(9 + p) = 7(p + -3) + 5p P + (9 * -1 + p * -1) = 7(p + -3) + 5p P + (-9 + -1p) = 7(p + -3) + 5p Reorder the terms: -9 + P + -1p = 7(p + -3) + 5p Reorder the terms: -9 + P + -1p = 7(-3 + p) + 5p -9 + P + -1p = (-3 * 7 + p * 7) + 5p -9 + P + -1p = (-21 + 7p) + 5p Combine like terms: 7p + 5p = 12p -9 + P + -1p = -21 + 12p Solving -9 + P + -1p = -21 + 12p Solving for variable 'P'. Move all terms containing P to the left, all other terms to the right. Add '9' to each side of the equation. -9 + P + 9 + -1p = -21 + 9 + 12p Reorder the terms: -9 + 9 + P + -1p = -21 + 9 + 12p Combine like terms: -9 + 9 = 0 0 + P + -1p = -21 + 9 + 12p P + -1p = -21 + 9 + 12p Combine like terms: -21 + 9 = -12 P + -1p = -12 + 12p Add 'p' to each side of the equation. P + -1p + p = -12 + 12p + p Combine like terms: -1p + p = 0 P + 0 = -12 + 12p + p P = -12 + 12p + p Combine like terms: 12p + p = 13p P = -12 + 13p Simplifying P = -12 + 13p
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