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Simplifying 3(2c + 7) + -3c = 7(c + 5) Reorder the terms: 3(7 + 2c) + -3c = 7(c + 5) (7 * 3 + 2c * 3) + -3c = 7(c + 5) (21 + 6c) + -3c = 7(c + 5) Combine like terms: 6c + -3c = 3c 21 + 3c = 7(c + 5) Reorder the terms: 21 + 3c = 7(5 + c) 21 + 3c = (5 * 7 + c * 7) 21 + 3c = (35 + 7c) Solving 21 + 3c = 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. 21 + 3c + -7c = 35 + 7c + -7c Combine like terms: 3c + -7c = -4c 21 + -4c = 35 + 7c + -7c Combine like terms: 7c + -7c = 0 21 + -4c = 35 + 0 21 + -4c = 35 Add '-21' to each side of the equation. 21 + -21 + -4c = 35 + -21 Combine like terms: 21 + -21 = 0 0 + -4c = 35 + -21 -4c = 35 + -21 Combine like terms: 35 + -21 = 14 -4c = 14 Divide each side by '-4'. c = -3.5 Simplifying c = -3.5
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