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Simplifying 4b + 4(1 + -3b) = -3b + 39 4b + (1 * 4 + -3b * 4) = -3b + 39 4b + (4 + -12b) = -3b + 39 Reorder the terms: 4 + 4b + -12b = -3b + 39 Combine like terms: 4b + -12b = -8b 4 + -8b = -3b + 39 Reorder the terms: 4 + -8b = 39 + -3b Solving 4 + -8b = 39 + -3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '3b' to each side of the equation. 4 + -8b + 3b = 39 + -3b + 3b Combine like terms: -8b + 3b = -5b 4 + -5b = 39 + -3b + 3b Combine like terms: -3b + 3b = 0 4 + -5b = 39 + 0 4 + -5b = 39 Add '-4' to each side of the equation. 4 + -4 + -5b = 39 + -4 Combine like terms: 4 + -4 = 0 0 + -5b = 39 + -4 -5b = 39 + -4 Combine like terms: 39 + -4 = 35 -5b = 35 Divide each side by '-5'. b = -7 Simplifying b = -7
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