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Simplifying 7(6c + -6) = (4 + -3c) Reorder the terms: 7(-6 + 6c) = (4 + -3c) (-6 * 7 + 6c * 7) = (4 + -3c) (-42 + 42c) = (4 + -3c) Remove parenthesis around (4 + -3c) -42 + 42c = 4 + -3c Solving -42 + 42c = 4 + -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 + 42c + 3c = 4 + -3c + 3c Combine like terms: 42c + 3c = 45c -42 + 45c = 4 + -3c + 3c Combine like terms: -3c + 3c = 0 -42 + 45c = 4 + 0 -42 + 45c = 4 Add '42' to each side of the equation. -42 + 42 + 45c = 4 + 42 Combine like terms: -42 + 42 = 0 0 + 45c = 4 + 42 45c = 4 + 42 Combine like terms: 4 + 42 = 46 45c = 46 Divide each side by '45'. c = 1.022222222 Simplifying c = 1.022222222
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