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Simplifying -5(4b + -6) + -2(5b + -2) = 4 Reorder the terms: -5(-6 + 4b) + -2(5b + -2) = 4 (-6 * -5 + 4b * -5) + -2(5b + -2) = 4 (30 + -20b) + -2(5b + -2) = 4 Reorder the terms: 30 + -20b + -2(-2 + 5b) = 4 30 + -20b + (-2 * -2 + 5b * -2) = 4 30 + -20b + (4 + -10b) = 4 Reorder the terms: 30 + 4 + -20b + -10b = 4 Combine like terms: 30 + 4 = 34 34 + -20b + -10b = 4 Combine like terms: -20b + -10b = -30b 34 + -30b = 4 Solving 34 + -30b = 4 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + -30b = 4 + -34 Combine like terms: 34 + -34 = 0 0 + -30b = 4 + -34 -30b = 4 + -34 Combine like terms: 4 + -34 = -30 -30b = -30 Divide each side by '-30'. b = 1 Simplifying b = 1
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