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Simplifying P + 10 + 6 = 2P + 12 Reorder the terms: 10 + 6 + P = 2P + 12 Combine like terms: 10 + 6 = 16 16 + P = 2P + 12 Reorder the terms: 16 + P = 12 + 2P Solving 16 + P = 12 + 2P Solving for variable 'P'. Move all terms containing P to the left, all other terms to the right. Add '-2P' to each side of the equation. 16 + P + -2P = 12 + 2P + -2P Combine like terms: P + -2P = -1P 16 + -1P = 12 + 2P + -2P Combine like terms: 2P + -2P = 0 16 + -1P = 12 + 0 16 + -1P = 12 Add '-16' to each side of the equation. 16 + -16 + -1P = 12 + -16 Combine like terms: 16 + -16 = 0 0 + -1P = 12 + -16 -1P = 12 + -16 Combine like terms: 12 + -16 = -4 -1P = -4 Divide each side by '-1'. P = 4 Simplifying P = 4
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