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Simplifying 5b + -6 = 4(b + 3) + -2b Reorder the terms: -6 + 5b = 4(b + 3) + -2b Reorder the terms: -6 + 5b = 4(3 + b) + -2b -6 + 5b = (3 * 4 + b * 4) + -2b -6 + 5b = (12 + 4b) + -2b Combine like terms: 4b + -2b = 2b -6 + 5b = 12 + 2b Solving -6 + 5b = 12 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. -6 + 5b + -2b = 12 + 2b + -2b Combine like terms: 5b + -2b = 3b -6 + 3b = 12 + 2b + -2b Combine like terms: 2b + -2b = 0 -6 + 3b = 12 + 0 -6 + 3b = 12 Add '6' to each side of the equation. -6 + 6 + 3b = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 3b = 12 + 6 3b = 12 + 6 Combine like terms: 12 + 6 = 18 3b = 18 Divide each side by '3'. b = 6 Simplifying b = 6
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