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