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Simplifying 2(3c + 8) + 4(6x + 1) = 43 Reorder the terms: 2(8 + 3c) + 4(6x + 1) = 43 (8 * 2 + 3c * 2) + 4(6x + 1) = 43 (16 + 6c) + 4(6x + 1) = 43 Reorder the terms: 16 + 6c + 4(1 + 6x) = 43 16 + 6c + (1 * 4 + 6x * 4) = 43 16 + 6c + (4 + 24x) = 43 Reorder the terms: 16 + 4 + 6c + 24x = 43 Combine like terms: 16 + 4 = 20 20 + 6c + 24x = 43 Solving 20 + 6c + 24x = 43 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + 6c + -20 + 24x = 43 + -20 Reorder the terms: 20 + -20 + 6c + 24x = 43 + -20 Combine like terms: 20 + -20 = 0 0 + 6c + 24x = 43 + -20 6c + 24x = 43 + -20 Combine like terms: 43 + -20 = 23 6c + 24x = 23 Add '-24x' to each side of the equation. 6c + 24x + -24x = 23 + -24x Combine like terms: 24x + -24x = 0 6c + 0 = 23 + -24x 6c = 23 + -24x Divide each side by '6'. c = 3.833333333 + -4x Simplifying c = 3.833333333 + -4x
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