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Simplifying -3(4b + 2) + 24 = 6(b + -2) Reorder the terms: -3(2 + 4b) + 24 = 6(b + -2) (2 * -3 + 4b * -3) + 24 = 6(b + -2) (-6 + -12b) + 24 = 6(b + -2) Reorder the terms: -6 + 24 + -12b = 6(b + -2) Combine like terms: -6 + 24 = 18 18 + -12b = 6(b + -2) Reorder the terms: 18 + -12b = 6(-2 + b) 18 + -12b = (-2 * 6 + b * 6) 18 + -12b = (-12 + 6b) Solving 18 + -12b = -12 + 6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6b' to each side of the equation. 18 + -12b + -6b = -12 + 6b + -6b Combine like terms: -12b + -6b = -18b 18 + -18b = -12 + 6b + -6b Combine like terms: 6b + -6b = 0 18 + -18b = -12 + 0 18 + -18b = -12 Add '-18' to each side of the equation. 18 + -18 + -18b = -12 + -18 Combine like terms: 18 + -18 = 0 0 + -18b = -12 + -18 -18b = -12 + -18 Combine like terms: -12 + -18 = -30 -18b = -30 Divide each side by '-18'. b = 1.666666667 Simplifying b = 1.666666667
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