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Simplifying 2(4b + -5) = 2(2b + -6) Reorder the terms: 2(-5 + 4b) = 2(2b + -6) (-5 * 2 + 4b * 2) = 2(2b + -6) (-10 + 8b) = 2(2b + -6) Reorder the terms: -10 + 8b = 2(-6 + 2b) -10 + 8b = (-6 * 2 + 2b * 2) -10 + 8b = (-12 + 4b) Solving -10 + 8b = -12 + 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. -10 + 8b + -4b = -12 + 4b + -4b Combine like terms: 8b + -4b = 4b -10 + 4b = -12 + 4b + -4b Combine like terms: 4b + -4b = 0 -10 + 4b = -12 + 0 -10 + 4b = -12 Add '10' to each side of the equation. -10 + 10 + 4b = -12 + 10 Combine like terms: -10 + 10 = 0 0 + 4b = -12 + 10 4b = -12 + 10 Combine like terms: -12 + 10 = -2 4b = -2 Divide each side by '4'. b = -0.5 Simplifying b = -0.5
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