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Simplifying 3[b + -4] = 5b + -2 Reorder the terms: 3[-4 + b] = 5b + -2 [-4 * 3 + b * 3] = 5b + -2 [-12 + 3b] = 5b + -2 Reorder the terms: -12 + 3b = -2 + 5b Solving -12 + 3b = -2 + 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. -12 + 3b + -5b = -2 + 5b + -5b Combine like terms: 3b + -5b = -2b -12 + -2b = -2 + 5b + -5b Combine like terms: 5b + -5b = 0 -12 + -2b = -2 + 0 -12 + -2b = -2 Add '12' to each side of the equation. -12 + 12 + -2b = -2 + 12 Combine like terms: -12 + 12 = 0 0 + -2b = -2 + 12 -2b = -2 + 12 Combine like terms: -2 + 12 = 10 -2b = 10 Divide each side by '-2'. b = -5 Simplifying b = -5
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