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Simplifying 5b + 6 + -2b + -12 = 6b + 3 Reorder the terms: 6 + -12 + 5b + -2b = 6b + 3 Combine like terms: 6 + -12 = -6 -6 + 5b + -2b = 6b + 3 Combine like terms: 5b + -2b = 3b -6 + 3b = 6b + 3 Reorder the terms: -6 + 3b = 3 + 6b Solving -6 + 3b = 3 + 6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6b' to each side of the equation. -6 + 3b + -6b = 3 + 6b + -6b Combine like terms: 3b + -6b = -3b -6 + -3b = 3 + 6b + -6b Combine like terms: 6b + -6b = 0 -6 + -3b = 3 + 0 -6 + -3b = 3 Add '6' to each side of the equation. -6 + 6 + -3b = 3 + 6 Combine like terms: -6 + 6 = 0 0 + -3b = 3 + 6 -3b = 3 + 6 Combine like terms: 3 + 6 = 9 -3b = 9 Divide each side by '-3'. b = -3 Simplifying b = -3
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