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Simplifying 6(P + 2) + -1P + -6 = -7(P + 4) + 10 Reorder the terms: 6(2 + P) + -1P + -6 = -7(P + 4) + 10 (2 * 6 + P * 6) + -1P + -6 = -7(P + 4) + 10 (12 + 6P) + -1P + -6 = -7(P + 4) + 10 Reorder the terms: 12 + -6 + 6P + -1P = -7(P + 4) + 10 Combine like terms: 12 + -6 = 6 6 + 6P + -1P = -7(P + 4) + 10 Combine like terms: 6P + -1P = 5P 6 + 5P = -7(P + 4) + 10 Reorder the terms: 6 + 5P = -7(4 + P) + 10 6 + 5P = (4 * -7 + P * -7) + 10 6 + 5P = (-28 + -7P) + 10 Reorder the terms: 6 + 5P = -28 + 10 + -7P Combine like terms: -28 + 10 = -18 6 + 5P = -18 + -7P Solving 6 + 5P = -18 + -7P Solving for variable 'P'. Move all terms containing P to the left, all other terms to the right. Add '7P' to each side of the equation. 6 + 5P + 7P = -18 + -7P + 7P Combine like terms: 5P + 7P = 12P 6 + 12P = -18 + -7P + 7P Combine like terms: -7P + 7P = 0 6 + 12P = -18 + 0 6 + 12P = -18 Add '-6' to each side of the equation. 6 + -6 + 12P = -18 + -6 Combine like terms: 6 + -6 = 0 0 + 12P = -18 + -6 12P = -18 + -6 Combine like terms: -18 + -6 = -24 12P = -24 Divide each side by '12'. P = -2 Simplifying P = -2
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