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Simplifying 34 = 6[4c + -7] Reorder the terms: 34 = 6[-7 + 4c] 34 = [-7 * 6 + 4c * 6] 34 = [-42 + 24c] Solving 34 = -42 + 24c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-24c' to each side of the equation. 34 + -24c = -42 + 24c + -24c Combine like terms: 24c + -24c = 0 34 + -24c = -42 + 0 34 + -24c = -42 Add '-34' to each side of the equation. 34 + -34 + -24c = -42 + -34 Combine like terms: 34 + -34 = 0 0 + -24c = -42 + -34 -24c = -42 + -34 Combine like terms: -42 + -34 = -76 -24c = -76 Divide each side by '-24'. c = 3.166666667 Simplifying c = 3.166666667
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