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Simplifying -133 = 8 + 3(6b + -5) Reorder the terms: -133 = 8 + 3(-5 + 6b) -133 = 8 + (-5 * 3 + 6b * 3) -133 = 8 + (-15 + 18b) Combine like terms: 8 + -15 = -7 -133 = -7 + 18b Solving -133 = -7 + 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. -133 + -18b = -7 + 18b + -18b Combine like terms: 18b + -18b = 0 -133 + -18b = -7 + 0 -133 + -18b = -7 Add '133' to each side of the equation. -133 + 133 + -18b = -7 + 133 Combine like terms: -133 + 133 = 0 0 + -18b = -7 + 133 -18b = -7 + 133 Combine like terms: -7 + 133 = 126 -18b = 126 Divide each side by '-18'. b = -7 Simplifying b = -7
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