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Simplifying 30 + -7b = 4(5b + -6) Reorder the terms: 30 + -7b = 4(-6 + 5b) 30 + -7b = (-6 * 4 + 5b * 4) 30 + -7b = (-24 + 20b) Solving 30 + -7b = -24 + 20b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-20b' to each side of the equation. 30 + -7b + -20b = -24 + 20b + -20b Combine like terms: -7b + -20b = -27b 30 + -27b = -24 + 20b + -20b Combine like terms: 20b + -20b = 0 30 + -27b = -24 + 0 30 + -27b = -24 Add '-30' to each side of the equation. 30 + -30 + -27b = -24 + -30 Combine like terms: 30 + -30 = 0 0 + -27b = -24 + -30 -27b = -24 + -30 Combine like terms: -24 + -30 = -54 -27b = -54 Divide each side by '-27'. b = 2 Simplifying b = 2
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