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Simplifying -1b + -40 = 3(4 + -8b) + -3b Reorder the terms: -40 + -1b = 3(4 + -8b) + -3b -40 + -1b = (4 * 3 + -8b * 3) + -3b -40 + -1b = (12 + -24b) + -3b Combine like terms: -24b + -3b = -27b -40 + -1b = 12 + -27b Solving -40 + -1b = 12 + -27b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '27b' to each side of the equation. -40 + -1b + 27b = 12 + -27b + 27b Combine like terms: -1b + 27b = 26b -40 + 26b = 12 + -27b + 27b Combine like terms: -27b + 27b = 0 -40 + 26b = 12 + 0 -40 + 26b = 12 Add '40' to each side of the equation. -40 + 40 + 26b = 12 + 40 Combine like terms: -40 + 40 = 0 0 + 26b = 12 + 40 26b = 12 + 40 Combine like terms: 12 + 40 = 52 26b = 52 Divide each side by '26'. b = 2 Simplifying b = 2
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