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Simplifying 182 = -7(-4b + -6) Reorder the terms: 182 = -7(-6 + -4b) 182 = (-6 * -7 + -4b * -7) 182 = (42 + 28b) Solving 182 = 42 + 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. 182 + -28b = 42 + 28b + -28b Combine like terms: 28b + -28b = 0 182 + -28b = 42 + 0 182 + -28b = 42 Add '-182' to each side of the equation. 182 + -182 + -28b = 42 + -182 Combine like terms: 182 + -182 = 0 0 + -28b = 42 + -182 -28b = 42 + -182 Combine like terms: 42 + -182 = -140 -28b = -140 Divide each side by '-28'. b = 5 Simplifying b = 5
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