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Simplifying 0.03(2c + -26) = 0.6(c + -2) Reorder the terms: 0.03(-26 + 2c) = 0.6(c + -2) (-26 * 0.03 + 2c * 0.03) = 0.6(c + -2) (-0.78 + 0.06c) = 0.6(c + -2) Reorder the terms: -0.78 + 0.06c = 0.6(-2 + c) -0.78 + 0.06c = (-2 * 0.6 + c * 0.6) -0.78 + 0.06c = (-1.2 + 0.6c) Solving -0.78 + 0.06c = -1.2 + 0.6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-0.6c' to each side of the equation. -0.78 + 0.06c + -0.6c = -1.2 + 0.6c + -0.6c Combine like terms: 0.06c + -0.6c = -0.54c -0.78 + -0.54c = -1.2 + 0.6c + -0.6c Combine like terms: 0.6c + -0.6c = 0.0 -0.78 + -0.54c = -1.2 + 0.0 -0.78 + -0.54c = -1.2 Add '0.78' to each side of the equation. -0.78 + 0.78 + -0.54c = -1.2 + 0.78 Combine like terms: -0.78 + 0.78 = 0.00 0.00 + -0.54c = -1.2 + 0.78 -0.54c = -1.2 + 0.78 Combine like terms: -1.2 + 0.78 = -0.42 -0.54c = -0.42 Divide each side by '-0.54'. c = 0.7777777778 Simplifying c = 0.7777777778
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