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Simplifying 7(3c + 6) + -3b + -5c = 14 Reorder the terms: 7(6 + 3c) + -3b + -5c = 14 (6 * 7 + 3c * 7) + -3b + -5c = 14 (42 + 21c) + -3b + -5c = 14 Reorder the terms: 42 + -3b + 21c + -5c = 14 Combine like terms: 21c + -5c = 16c 42 + -3b + 16c = 14 Solving 42 + -3b + 16c = 14 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -3b + -42 + 16c = 14 + -42 Reorder the terms: 42 + -42 + -3b + 16c = 14 + -42 Combine like terms: 42 + -42 = 0 0 + -3b + 16c = 14 + -42 -3b + 16c = 14 + -42 Combine like terms: 14 + -42 = -28 -3b + 16c = -28 Add '-16c' to each side of the equation. -3b + 16c + -16c = -28 + -16c Combine like terms: 16c + -16c = 0 -3b + 0 = -28 + -16c -3b = -28 + -16c Divide each side by '-3'. b = 9.333333333 + 5.333333333c Simplifying b = 9.333333333 + 5.333333333c
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