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Simplifying 34 = -3(5c + 7) Reorder the terms: 34 = -3(7 + 5c) 34 = (7 * -3 + 5c * -3) 34 = (-21 + -15c) Solving 34 = -21 + -15c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '15c' to each side of the equation. 34 + 15c = -21 + -15c + 15c Combine like terms: -15c + 15c = 0 34 + 15c = -21 + 0 34 + 15c = -21 Add '-34' to each side of the equation. 34 + -34 + 15c = -21 + -34 Combine like terms: 34 + -34 = 0 0 + 15c = -21 + -34 15c = -21 + -34 Combine like terms: -21 + -34 = -55 15c = -55 Divide each side by '15'. c = -3.666666667 Simplifying c = -3.666666667
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