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Simplifying 6b + 12 = 30b + -12 Reorder the terms: 12 + 6b = 30b + -12 Reorder the terms: 12 + 6b = -12 + 30b Solving 12 + 6b = -12 + 30b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-30b' to each side of the equation. 12 + 6b + -30b = -12 + 30b + -30b Combine like terms: 6b + -30b = -24b 12 + -24b = -12 + 30b + -30b Combine like terms: 30b + -30b = 0 12 + -24b = -12 + 0 12 + -24b = -12 Add '-12' to each side of the equation. 12 + -12 + -24b = -12 + -12 Combine like terms: 12 + -12 = 0 0 + -24b = -12 + -12 -24b = -12 + -12 Combine like terms: -12 + -12 = -24 -24b = -24 Divide each side by '-24'. b = 1 Simplifying b = 1
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