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Simplifying 7(c + -6) = (4 + -1c) * 3 Reorder the terms: 7(-6 + c) = (4 + -1c) * 3 (-6 * 7 + c * 7) = (4 + -1c) * 3 (-42 + 7c) = (4 + -1c) * 3 Reorder the terms for easier multiplication: -42 + 7c = 3(4 + -1c) -42 + 7c = (4 * 3 + -1c * 3) -42 + 7c = (12 + -3c) Solving -42 + 7c = 12 + -3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '3c' to each side of the equation. -42 + 7c + 3c = 12 + -3c + 3c Combine like terms: 7c + 3c = 10c -42 + 10c = 12 + -3c + 3c Combine like terms: -3c + 3c = 0 -42 + 10c = 12 + 0 -42 + 10c = 12 Add '42' to each side of the equation. -42 + 42 + 10c = 12 + 42 Combine like terms: -42 + 42 = 0 0 + 10c = 12 + 42 10c = 12 + 42 Combine like terms: 12 + 42 = 54 10c = 54 Divide each side by '10'. c = 5.4 Simplifying c = 5.4
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