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Simplifying -12.3c + -0.42 = -13c + -7.28 Reorder the terms: -0.42 + -12.3c = -13c + -7.28 Reorder the terms: -0.42 + -12.3c = -7.28 + -13c Solving -0.42 + -12.3c = -7.28 + -13c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '13c' to each side of the equation. -0.42 + -12.3c + 13c = -7.28 + -13c + 13c Combine like terms: -12.3c + 13c = 0.7c -0.42 + 0.7c = -7.28 + -13c + 13c Combine like terms: -13c + 13c = 0 -0.42 + 0.7c = -7.28 + 0 -0.42 + 0.7c = -7.28 Add '0.42' to each side of the equation. -0.42 + 0.42 + 0.7c = -7.28 + 0.42 Combine like terms: -0.42 + 0.42 = 0.00 0.00 + 0.7c = -7.28 + 0.42 0.7c = -7.28 + 0.42 Combine like terms: -7.28 + 0.42 = -6.86 0.7c = -6.86 Divide each side by '0.7'. c = -9.8 Simplifying c = -9.8
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