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Simplifying -2(4 + -3b + 2) = 5 + -2(3b + 6) Reorder the terms: -2(4 + 2 + -3b) = 5 + -2(3b + 6) Combine like terms: 4 + 2 = 6 -2(6 + -3b) = 5 + -2(3b + 6) (6 * -2 + -3b * -2) = 5 + -2(3b + 6) (-12 + 6b) = 5 + -2(3b + 6) Reorder the terms: -12 + 6b = 5 + -2(6 + 3b) -12 + 6b = 5 + (6 * -2 + 3b * -2) -12 + 6b = 5 + (-12 + -6b) Combine like terms: 5 + -12 = -7 -12 + 6b = -7 + -6b Solving -12 + 6b = -7 + -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. -12 + 6b + 6b = -7 + -6b + 6b Combine like terms: 6b + 6b = 12b -12 + 12b = -7 + -6b + 6b Combine like terms: -6b + 6b = 0 -12 + 12b = -7 + 0 -12 + 12b = -7 Add '12' to each side of the equation. -12 + 12 + 12b = -7 + 12 Combine like terms: -12 + 12 = 0 0 + 12b = -7 + 12 12b = -7 + 12 Combine like terms: -7 + 12 = 5 12b = 5 Divide each side by '12'. b = 0.4166666667 Simplifying b = 0.4166666667
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