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Simplifying -133 = 7(1 + 4b) -133 = (1 * 7 + 4b * 7) -133 = (7 + 28b) Solving -133 = 7 + 28b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-28b' to each side of the equation. -133 + -28b = 7 + 28b + -28b Combine like terms: 28b + -28b = 0 -133 + -28b = 7 + 0 -133 + -28b = 7 Add '133' to each side of the equation. -133 + 133 + -28b = 7 + 133 Combine like terms: -133 + 133 = 0 0 + -28b = 7 + 133 -28b = 7 + 133 Combine like terms: 7 + 133 = 140 -28b = 140 Divide each side by '-28'. b = -5 Simplifying b = -5
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