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Simplifying 4(2x + -3b) = 7x + 5b Reorder the terms: 4(-3b + 2x) = 7x + 5b (-3b * 4 + 2x * 4) = 7x + 5b (-12b + 8x) = 7x + 5b Reorder the terms: -12b + 8x = 5b + 7x Solving -12b + 8x = 5b + 7x 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. -12b + -5b + 8x = 5b + -5b + 7x Combine like terms: -12b + -5b = -17b -17b + 8x = 5b + -5b + 7x Combine like terms: 5b + -5b = 0 -17b + 8x = 0 + 7x -17b + 8x = 7x Add '-8x' to each side of the equation. -17b + 8x + -8x = 7x + -8x Combine like terms: 8x + -8x = 0 -17b + 0 = 7x + -8x -17b = 7x + -8x Combine like terms: 7x + -8x = -1x -17b = -1x Divide each side by '-17'. b = 0.05882352941x Simplifying b = 0.05882352941x
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