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Simplifying 4(4.1c + -0.875) = 6(1.8c + 1.75) Reorder the terms: 4(-0.875 + 4.1c) = 6(1.8c + 1.75) (-0.875 * 4 + 4.1c * 4) = 6(1.8c + 1.75) (-3.5 + 16.4c) = 6(1.8c + 1.75) Reorder the terms: -3.5 + 16.4c = 6(1.75 + 1.8c) -3.5 + 16.4c = (1.75 * 6 + 1.8c * 6) -3.5 + 16.4c = (10.5 + 10.8c) Solving -3.5 + 16.4c = 10.5 + 10.8c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-10.8c' to each side of the equation. -3.5 + 16.4c + -10.8c = 10.5 + 10.8c + -10.8c Combine like terms: 16.4c + -10.8c = 5.6c -3.5 + 5.6c = 10.5 + 10.8c + -10.8c Combine like terms: 10.8c + -10.8c = 0.0 -3.5 + 5.6c = 10.5 + 0.0 -3.5 + 5.6c = 10.5 Add '3.5' to each side of the equation. -3.5 + 3.5 + 5.6c = 10.5 + 3.5 Combine like terms: -3.5 + 3.5 = 0.0 0.0 + 5.6c = 10.5 + 3.5 5.6c = 10.5 + 3.5 Combine like terms: 10.5 + 3.5 = 14 5.6c = 14 Divide each side by '5.6'. c = 2.5 Simplifying c = 2.5
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