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Simplifying -31 = 5 + 2(c + -6) Reorder the terms: -31 = 5 + 2(-6 + c) -31 = 5 + (-6 * 2 + c * 2) -31 = 5 + (-12 + 2c) Combine like terms: 5 + -12 = -7 -31 = -7 + 2c Solving -31 = -7 + 2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2c' to each side of the equation. -31 + -2c = -7 + 2c + -2c Combine like terms: 2c + -2c = 0 -31 + -2c = -7 + 0 -31 + -2c = -7 Add '31' to each side of the equation. -31 + 31 + -2c = -7 + 31 Combine like terms: -31 + 31 = 0 0 + -2c = -7 + 31 -2c = -7 + 31 Combine like terms: -7 + 31 = 24 -2c = 24 Divide each side by '-2'. c = -12 Simplifying c = -12
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