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Simplifying 7(3c + 4) = 2(3c + -1) Reorder the terms: 7(4 + 3c) = 2(3c + -1) (4 * 7 + 3c * 7) = 2(3c + -1) (28 + 21c) = 2(3c + -1) Reorder the terms: 28 + 21c = 2(-1 + 3c) 28 + 21c = (-1 * 2 + 3c * 2) 28 + 21c = (-2 + 6c) Solving 28 + 21c = -2 + 6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6c' to each side of the equation. 28 + 21c + -6c = -2 + 6c + -6c Combine like terms: 21c + -6c = 15c 28 + 15c = -2 + 6c + -6c Combine like terms: 6c + -6c = 0 28 + 15c = -2 + 0 28 + 15c = -2 Add '-28' to each side of the equation. 28 + -28 + 15c = -2 + -28 Combine like terms: 28 + -28 = 0 0 + 15c = -2 + -28 15c = -2 + -28 Combine like terms: -2 + -28 = -30 15c = -30 Divide each side by '15'. c = -2 Simplifying c = -2
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