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Simplifying -114 = 6(4b + -3) Reorder the terms: -114 = 6(-3 + 4b) -114 = (-3 * 6 + 4b * 6) -114 = (-18 + 24b) Solving -114 = -18 + 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. -114 + -24b = -18 + 24b + -24b Combine like terms: 24b + -24b = 0 -114 + -24b = -18 + 0 -114 + -24b = -18 Add '114' to each side of the equation. -114 + 114 + -24b = -18 + 114 Combine like terms: -114 + 114 = 0 0 + -24b = -18 + 114 -24b = -18 + 114 Combine like terms: -18 + 114 = 96 -24b = 96 Divide each side by '-24'. b = -4 Simplifying b = -4
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