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Simplifying 5(9c + 7) = 4(4c + -4) + 6 Reorder the terms: 5(7 + 9c) = 4(4c + -4) + 6 (7 * 5 + 9c * 5) = 4(4c + -4) + 6 (35 + 45c) = 4(4c + -4) + 6 Reorder the terms: 35 + 45c = 4(-4 + 4c) + 6 35 + 45c = (-4 * 4 + 4c * 4) + 6 35 + 45c = (-16 + 16c) + 6 Reorder the terms: 35 + 45c = -16 + 6 + 16c Combine like terms: -16 + 6 = -10 35 + 45c = -10 + 16c Solving 35 + 45c = -10 + 16c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-16c' to each side of the equation. 35 + 45c + -16c = -10 + 16c + -16c Combine like terms: 45c + -16c = 29c 35 + 29c = -10 + 16c + -16c Combine like terms: 16c + -16c = 0 35 + 29c = -10 + 0 35 + 29c = -10 Add '-35' to each side of the equation. 35 + -35 + 29c = -10 + -35 Combine like terms: 35 + -35 = 0 0 + 29c = -10 + -35 29c = -10 + -35 Combine like terms: -10 + -35 = -45 29c = -45 Divide each side by '29'. c = -1.551724138 Simplifying c = -1.551724138
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