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Simplifying 30 = 7 + 5(b + -6) Reorder the terms: 30 = 7 + 5(-6 + b) 30 = 7 + (-6 * 5 + b * 5) 30 = 7 + (-30 + 5b) Combine like terms: 7 + -30 = -23 30 = -23 + 5b Solving 30 = -23 + 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 + -5b = -23 + 5b + -5b Combine like terms: 5b + -5b = 0 30 + -5b = -23 + 0 30 + -5b = -23 Add '-30' to each side of the equation. 30 + -30 + -5b = -23 + -30 Combine like terms: 30 + -30 = 0 0 + -5b = -23 + -30 -5b = -23 + -30 Combine like terms: -23 + -30 = -53 -5b = -53 Divide each side by '-5'. b = 10.6 Simplifying b = 10.6
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