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Simplifying 6(P + 2) = 8P + 18 Reorder the terms: 6(2 + P) = 8P + 18 (2 * 6 + P * 6) = 8P + 18 (12 + 6P) = 8P + 18 Reorder the terms: 12 + 6P = 18 + 8P Solving 12 + 6P = 18 + 8P Solving for variable 'P'. Move all terms containing P to the left, all other terms to the right. Add '-8P' to each side of the equation. 12 + 6P + -8P = 18 + 8P + -8P Combine like terms: 6P + -8P = -2P 12 + -2P = 18 + 8P + -8P Combine like terms: 8P + -8P = 0 12 + -2P = 18 + 0 12 + -2P = 18 Add '-12' to each side of the equation. 12 + -12 + -2P = 18 + -12 Combine like terms: 12 + -12 = 0 0 + -2P = 18 + -12 -2P = 18 + -12 Combine like terms: 18 + -12 = 6 -2P = 6 Divide each side by '-2'. P = -3 Simplifying P = -3
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