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Simplifying -6(1 + 5b) = 114 (1 * -6 + 5b * -6) = 114 (-6 + -30b) = 114 Solving -6 + -30b = 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 + -30b = 114 + 6 Combine like terms: -6 + 6 = 0 0 + -30b = 114 + 6 -30b = 114 + 6 Combine like terms: 114 + 6 = 120 -30b = 120 Divide each side by '-30'. b = -4 Simplifying b = -4
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