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Simplifying -11.07 + -0.5c = 6.9(c + 2.9) Reorder the terms: -11.07 + -0.5c = 6.9(2.9 + c) -11.07 + -0.5c = (2.9 * 6.9 + c * 6.9) -11.07 + -0.5c = (20.01 + 6.9c) Solving -11.07 + -0.5c = 20.01 + 6.9c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6.9c' to each side of the equation. -11.07 + -0.5c + -6.9c = 20.01 + 6.9c + -6.9c Combine like terms: -0.5c + -6.9c = -7.4c -11.07 + -7.4c = 20.01 + 6.9c + -6.9c Combine like terms: 6.9c + -6.9c = 0.0 -11.07 + -7.4c = 20.01 + 0.0 -11.07 + -7.4c = 20.01 Add '11.07' to each side of the equation. -11.07 + 11.07 + -7.4c = 20.01 + 11.07 Combine like terms: -11.07 + 11.07 = 0.00 0.00 + -7.4c = 20.01 + 11.07 -7.4c = 20.01 + 11.07 Combine like terms: 20.01 + 11.07 = 31.08 -7.4c = 31.08 Divide each side by '-7.4'. c = -4.2 Simplifying c = -4.2
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