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Simplifying P + -3(p + -4) = 2 + 2p + 5 Reorder the terms: P + -3(-4 + p) = 2 + 2p + 5 P + (-4 * -3 + p * -3) = 2 + 2p + 5 P + (12 + -3p) = 2 + 2p + 5 Reorder the terms: 12 + P + -3p = 2 + 2p + 5 Reorder the terms: 12 + P + -3p = 2 + 5 + 2p Combine like terms: 2 + 5 = 7 12 + P + -3p = 7 + 2p Solving 12 + P + -3p = 7 + 2p Solving for variable 'P'. Move all terms containing P to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + P + -12 + -3p = 7 + -12 + 2p Reorder the terms: 12 + -12 + P + -3p = 7 + -12 + 2p Combine like terms: 12 + -12 = 0 0 + P + -3p = 7 + -12 + 2p P + -3p = 7 + -12 + 2p Combine like terms: 7 + -12 = -5 P + -3p = -5 + 2p Add '3p' to each side of the equation. P + -3p + 3p = -5 + 2p + 3p Combine like terms: -3p + 3p = 0 P + 0 = -5 + 2p + 3p P = -5 + 2p + 3p Combine like terms: 2p + 3p = 5p P = -5 + 5p Simplifying P = -5 + 5p
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