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Simplifying -114 = -3(8 + 6b) -114 = (8 * -3 + 6b * -3) -114 = (-24 + -18b) Solving -114 = -24 + -18b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '18b' to each side of the equation. -114 + 18b = -24 + -18b + 18b Combine like terms: -18b + 18b = 0 -114 + 18b = -24 + 0 -114 + 18b = -24 Add '114' to each side of the equation. -114 + 114 + 18b = -24 + 114 Combine like terms: -114 + 114 = 0 0 + 18b = -24 + 114 18b = -24 + 114 Combine like terms: -24 + 114 = 90 18b = 90 Divide each side by '18'. b = 5 Simplifying b = 5
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