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Simplifying 8(5 + -1c) + -2(c + -6) = 0 (5 * 8 + -1c * 8) + -2(c + -6) = 0 (40 + -8c) + -2(c + -6) = 0 Reorder the terms: 40 + -8c + -2(-6 + c) = 0 40 + -8c + (-6 * -2 + c * -2) = 0 40 + -8c + (12 + -2c) = 0 Reorder the terms: 40 + 12 + -8c + -2c = 0 Combine like terms: 40 + 12 = 52 52 + -8c + -2c = 0 Combine like terms: -8c + -2c = -10c 52 + -10c = 0 Solving 52 + -10c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-52' to each side of the equation. 52 + -52 + -10c = 0 + -52 Combine like terms: 52 + -52 = 0 0 + -10c = 0 + -52 -10c = 0 + -52 Combine like terms: 0 + -52 = -52 -10c = -52 Divide each side by '-10'. c = 5.2 Simplifying c = 5.2
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