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Simplifying 12(3b + -1) = 4(b + -2) Reorder the terms: 12(-1 + 3b) = 4(b + -2) (-1 * 12 + 3b * 12) = 4(b + -2) (-12 + 36b) = 4(b + -2) Reorder the terms: -12 + 36b = 4(-2 + b) -12 + 36b = (-2 * 4 + b * 4) -12 + 36b = (-8 + 4b) Solving -12 + 36b = -8 + 4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4b' to each side of the equation. -12 + 36b + -4b = -8 + 4b + -4b Combine like terms: 36b + -4b = 32b -12 + 32b = -8 + 4b + -4b Combine like terms: 4b + -4b = 0 -12 + 32b = -8 + 0 -12 + 32b = -8 Add '12' to each side of the equation. -12 + 12 + 32b = -8 + 12 Combine like terms: -12 + 12 = 0 0 + 32b = -8 + 12 32b = -8 + 12 Combine like terms: -8 + 12 = 4 32b = 4 Divide each side by '32'. b = 0.125 Simplifying b = 0.125
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