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Simplifying 5(2c * 7) + -3c = 7(c + 5) Reorder the terms for easier multiplication: 5(2 * 7c) + -3c = 7(c + 5) Multiply 2 * 7 5(14c) + -3c = 7(c + 5) Remove parenthesis around (14c) 5 * 14c + -3c = 7(c + 5) Multiply 5 * 14 70c + -3c = 7(c + 5) Combine like terms: 70c + -3c = 67c 67c = 7(c + 5) Reorder the terms: 67c = 7(5 + c) 67c = (5 * 7 + c * 7) 67c = (35 + 7c) Solving 67c = 35 + 7c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-7c' to each side of the equation. 67c + -7c = 35 + 7c + -7c Combine like terms: 67c + -7c = 60c 60c = 35 + 7c + -7c Combine like terms: 7c + -7c = 0 60c = 35 + 0 60c = 35 Divide each side by '60'. c = 0.5833333333 Simplifying c = 0.5833333333
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