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Simplifying 178 = -6(3 + 4b) + 4 178 = (3 * -6 + 4b * -6) + 4 178 = (-18 + -24b) + 4 Reorder the terms: 178 = -18 + 4 + -24b Combine like terms: -18 + 4 = -14 178 = -14 + -24b Solving 178 = -14 + -24b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '24b' to each side of the equation. 178 + 24b = -14 + -24b + 24b Combine like terms: -24b + 24b = 0 178 + 24b = -14 + 0 178 + 24b = -14 Add '-178' to each side of the equation. 178 + -178 + 24b = -14 + -178 Combine like terms: 178 + -178 = 0 0 + 24b = -14 + -178 24b = -14 + -178 Combine like terms: -14 + -178 = -192 24b = -192 Divide each side by '24'. b = -8 Simplifying b = -8
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