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Simplifying 0.13(6c + -7) = 0.8c + -2 Reorder the terms: 0.13(-7 + 6c) = 0.8c + -2 (-7 * 0.13 + 6c * 0.13) = 0.8c + -2 (-0.91 + 0.78c) = 0.8c + -2 Reorder the terms: -0.91 + 0.78c = -2 + 0.8c Solving -0.91 + 0.78c = -2 + 0.8c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-0.8c' to each side of the equation. -0.91 + 0.78c + -0.8c = -2 + 0.8c + -0.8c Combine like terms: 0.78c + -0.8c = -0.02c -0.91 + -0.02c = -2 + 0.8c + -0.8c Combine like terms: 0.8c + -0.8c = 0.0 -0.91 + -0.02c = -2 + 0.0 -0.91 + -0.02c = -2 Add '0.91' to each side of the equation. -0.91 + 0.91 + -0.02c = -2 + 0.91 Combine like terms: -0.91 + 0.91 = 0.00 0.00 + -0.02c = -2 + 0.91 -0.02c = -2 + 0.91 Combine like terms: -2 + 0.91 = -1.09 -0.02c = -1.09 Divide each side by '-0.02'. c = 54.5 Simplifying c = 54.5
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