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Simplifying 6(1 + -4b) = 114 (1 * 6 + -4b * 6) = 114 (6 + -24b) = 114 Solving 6 + -24b = 114 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -24b = 114 + -6 Combine like terms: 6 + -6 = 0 0 + -24b = 114 + -6 -24b = 114 + -6 Combine like terms: 114 + -6 = 108 -24b = 108 Divide each side by '-24'. b = -4.5 Simplifying b = -4.5
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