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Simplifying 4(2b + -3) = 2(b + -3) Reorder the terms: 4(-3 + 2b) = 2(b + -3) (-3 * 4 + 2b * 4) = 2(b + -3) (-12 + 8b) = 2(b + -3) Reorder the terms: -12 + 8b = 2(-3 + b) -12 + 8b = (-3 * 2 + b * 2) -12 + 8b = (-6 + 2b) Solving -12 + 8b = -6 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. -12 + 8b + -2b = -6 + 2b + -2b Combine like terms: 8b + -2b = 6b -12 + 6b = -6 + 2b + -2b Combine like terms: 2b + -2b = 0 -12 + 6b = -6 + 0 -12 + 6b = -6 Add '12' to each side of the equation. -12 + 12 + 6b = -6 + 12 Combine like terms: -12 + 12 = 0 0 + 6b = -6 + 12 6b = -6 + 12 Combine like terms: -6 + 12 = 6 6b = 6 Divide each side by '6'. b = 1 Simplifying b = 1
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