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Simplifying 2(4c + -1l) + -1 = 3c + 7 (4c * 2 + -1l * 2) + -1 = 3c + 7 (8c + -2l) + -1 = 3c + 7 Reorder the terms: -1 + 8c + -2l = 3c + 7 Reorder the terms: -1 + 8c + -2l = 7 + 3c Solving -1 + 8c + -2l = 7 + 3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3c' to each side of the equation. -1 + 8c + -3c + -2l = 7 + 3c + -3c Combine like terms: 8c + -3c = 5c -1 + 5c + -2l = 7 + 3c + -3c Combine like terms: 3c + -3c = 0 -1 + 5c + -2l = 7 + 0 -1 + 5c + -2l = 7 Add '1' to each side of the equation. -1 + 5c + 1 + -2l = 7 + 1 Reorder the terms: -1 + 1 + 5c + -2l = 7 + 1 Combine like terms: -1 + 1 = 0 0 + 5c + -2l = 7 + 1 5c + -2l = 7 + 1 Combine like terms: 7 + 1 = 8 5c + -2l = 8 Add '2l' to each side of the equation. 5c + -2l + 2l = 8 + 2l Combine like terms: -2l + 2l = 0 5c + 0 = 8 + 2l 5c = 8 + 2l Divide each side by '5'. c = 1.6 + 0.4l Simplifying c = 1.6 + 0.4l
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