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Simplifying 4b + 12 = 10b + -30 Reorder the terms: 12 + 4b = 10b + -30 Reorder the terms: 12 + 4b = -30 + 10b Solving 12 + 4b = -30 + 10b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-10b' to each side of the equation. 12 + 4b + -10b = -30 + 10b + -10b Combine like terms: 4b + -10b = -6b 12 + -6b = -30 + 10b + -10b Combine like terms: 10b + -10b = 0 12 + -6b = -30 + 0 12 + -6b = -30 Add '-12' to each side of the equation. 12 + -12 + -6b = -30 + -12 Combine like terms: 12 + -12 = 0 0 + -6b = -30 + -12 -6b = -30 + -12 Combine like terms: -30 + -12 = -42 -6b = -42 Divide each side by '-6'. b = 7 Simplifying b = 7
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