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Simplifying 4(2 + -1b) = 6(2b + -1) (2 * 4 + -1b * 4) = 6(2b + -1) (8 + -4b) = 6(2b + -1) Reorder the terms: 8 + -4b = 6(-1 + 2b) 8 + -4b = (-1 * 6 + 2b * 6) 8 + -4b = (-6 + 12b) Solving 8 + -4b = -6 + 12b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-12b' to each side of the equation. 8 + -4b + -12b = -6 + 12b + -12b Combine like terms: -4b + -12b = -16b 8 + -16b = -6 + 12b + -12b Combine like terms: 12b + -12b = 0 8 + -16b = -6 + 0 8 + -16b = -6 Add '-8' to each side of the equation. 8 + -8 + -16b = -6 + -8 Combine like terms: 8 + -8 = 0 0 + -16b = -6 + -8 -16b = -6 + -8 Combine like terms: -6 + -8 = -14 -16b = -14 Divide each side by '-16'. b = 0.875 Simplifying b = 0.875
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