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Simplifying 178 = 7(9b + 1) + -6b Reorder the terms: 178 = 7(1 + 9b) + -6b 178 = (1 * 7 + 9b * 7) + -6b 178 = (7 + 63b) + -6b Combine like terms: 63b + -6b = 57b 178 = 7 + 57b Solving 178 = 7 + 57b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-57b' to each side of the equation. 178 + -57b = 7 + 57b + -57b Combine like terms: 57b + -57b = 0 178 + -57b = 7 + 0 178 + -57b = 7 Add '-178' to each side of the equation. 178 + -178 + -57b = 7 + -178 Combine like terms: 178 + -178 = 0 0 + -57b = 7 + -178 -57b = 7 + -178 Combine like terms: 7 + -178 = -171 -57b = -171 Divide each side by '-57'. b = 3 Simplifying b = 3
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