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Simplifying -6(-4b + -7) = 114 Reorder the terms: -6(-7 + -4b) = 114 (-7 * -6 + -4b * -6) = 114 (42 + 24b) = 114 Solving 42 + 24b = 114 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 + -42 + 24b = 114 + -42 Combine like terms: 42 + -42 = 0 0 + 24b = 114 + -42 24b = 114 + -42 Combine like terms: 114 + -42 = 72 24b = 72 Divide each side by '24'. b = 3 Simplifying b = 3
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