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Simplifying 3(b + -4) = 2(3b + 4) Reorder the terms: 3(-4 + b) = 2(3b + 4) (-4 * 3 + b * 3) = 2(3b + 4) (-12 + 3b) = 2(3b + 4) Reorder the terms: -12 + 3b = 2(4 + 3b) -12 + 3b = (4 * 2 + 3b * 2) -12 + 3b = (8 + 6b) Solving -12 + 3b = 8 + 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 + 3b + -6b = 8 + 6b + -6b Combine like terms: 3b + -6b = -3b -12 + -3b = 8 + 6b + -6b Combine like terms: 6b + -6b = 0 -12 + -3b = 8 + 0 -12 + -3b = 8 Add '12' to each side of the equation. -12 + 12 + -3b = 8 + 12 Combine like terms: -12 + 12 = 0 0 + -3b = 8 + 12 -3b = 8 + 12 Combine like terms: 8 + 12 = 20 -3b = 20 Divide each side by '-3'. b = -6.666666667 Simplifying b = -6.666666667
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