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Simplifying -4b + 5(7b + -6) = 22 + 5b Reorder the terms: -4b + 5(-6 + 7b) = 22 + 5b -4b + (-6 * 5 + 7b * 5) = 22 + 5b -4b + (-30 + 35b) = 22 + 5b Reorder the terms: -30 + -4b + 35b = 22 + 5b Combine like terms: -4b + 35b = 31b -30 + 31b = 22 + 5b Solving -30 + 31b = 22 + 5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5b' to each side of the equation. -30 + 31b + -5b = 22 + 5b + -5b Combine like terms: 31b + -5b = 26b -30 + 26b = 22 + 5b + -5b Combine like terms: 5b + -5b = 0 -30 + 26b = 22 + 0 -30 + 26b = 22 Add '30' to each side of the equation. -30 + 30 + 26b = 22 + 30 Combine like terms: -30 + 30 = 0 0 + 26b = 22 + 30 26b = 22 + 30 Combine like terms: 22 + 30 = 52 26b = 52 Divide each side by '26'. b = 2 Simplifying b = 2
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