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Simplifying 4(3b + -1) = 7(-2 + 3b) + -4b Reorder the terms: 4(-1 + 3b) = 7(-2 + 3b) + -4b (-1 * 4 + 3b * 4) = 7(-2 + 3b) + -4b (-4 + 12b) = 7(-2 + 3b) + -4b -4 + 12b = (-2 * 7 + 3b * 7) + -4b -4 + 12b = (-14 + 21b) + -4b Combine like terms: 21b + -4b = 17b -4 + 12b = -14 + 17b Solving -4 + 12b = -14 + 17b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-17b' to each side of the equation. -4 + 12b + -17b = -14 + 17b + -17b Combine like terms: 12b + -17b = -5b -4 + -5b = -14 + 17b + -17b Combine like terms: 17b + -17b = 0 -4 + -5b = -14 + 0 -4 + -5b = -14 Add '4' to each side of the equation. -4 + 4 + -5b = -14 + 4 Combine like terms: -4 + 4 = 0 0 + -5b = -14 + 4 -5b = -14 + 4 Combine like terms: -14 + 4 = -10 -5b = -10 Divide each side by '-5'. b = 2 Simplifying b = 2
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