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Simplifying (b + -4) * 3 = b + 2 Reorder the terms: (-4 + b) * 3 = b + 2 Reorder the terms for easier multiplication: 3(-4 + b) = b + 2 (-4 * 3 + b * 3) = b + 2 (-12 + 3b) = b + 2 Reorder the terms: -12 + 3b = 2 + b Solving -12 + 3b = 2 + b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1b' to each side of the equation. -12 + 3b + -1b = 2 + b + -1b Combine like terms: 3b + -1b = 2b -12 + 2b = 2 + b + -1b Combine like terms: b + -1b = 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 = 14 2b = 14 Divide each side by '2'. b = 7 Simplifying b = 7
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