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Simplifying -6(2 + -8b) = -5(8b + 2) + -2 (2 * -6 + -8b * -6) = -5(8b + 2) + -2 (-12 + 48b) = -5(8b + 2) + -2 Reorder the terms: -12 + 48b = -5(2 + 8b) + -2 -12 + 48b = (2 * -5 + 8b * -5) + -2 -12 + 48b = (-10 + -40b) + -2 Reorder the terms: -12 + 48b = -10 + -2 + -40b Combine like terms: -10 + -2 = -12 -12 + 48b = -12 + -40b Add '12' to each side of the equation. -12 + 12 + 48b = -12 + 12 + -40b Combine like terms: -12 + 12 = 0 0 + 48b = -12 + 12 + -40b 48b = -12 + 12 + -40b Combine like terms: -12 + 12 = 0 48b = 0 + -40b 48b = -40b Solving 48b = -40b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '40b' to each side of the equation. 48b + 40b = -40b + 40b Combine like terms: 48b + 40b = 88b 88b = -40b + 40b Combine like terms: -40b + 40b = 0 88b = 0 Divide each side by '88'. b = 0 Simplifying b = 0
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