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Simplifying P + -1(p + 28) = 8(p + -5) + 4p Reorder the terms: P + -1(28 + p) = 8(p + -5) + 4p P + (28 * -1 + p * -1) = 8(p + -5) + 4p P + (-28 + -1p) = 8(p + -5) + 4p Reorder the terms: -28 + P + -1p = 8(p + -5) + 4p Reorder the terms: -28 + P + -1p = 8(-5 + p) + 4p -28 + P + -1p = (-5 * 8 + p * 8) + 4p -28 + P + -1p = (-40 + 8p) + 4p Combine like terms: 8p + 4p = 12p -28 + P + -1p = -40 + 12p Solving -28 + P + -1p = -40 + 12p Solving for variable 'P'. Move all terms containing P to the left, all other terms to the right. Add '28' to each side of the equation. -28 + P + 28 + -1p = -40 + 28 + 12p Reorder the terms: -28 + 28 + P + -1p = -40 + 28 + 12p Combine like terms: -28 + 28 = 0 0 + P + -1p = -40 + 28 + 12p P + -1p = -40 + 28 + 12p Combine like terms: -40 + 28 = -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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