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Simplifying -5(1 + 6b) = -8b + 36 (1 * -5 + 6b * -5) = -8b + 36 (-5 + -30b) = -8b + 36 Reorder the terms: -5 + -30b = 36 + -8b Solving -5 + -30b = 36 + -8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '8b' to each side of the equation. -5 + -30b + 8b = 36 + -8b + 8b Combine like terms: -30b + 8b = -22b -5 + -22b = 36 + -8b + 8b Combine like terms: -8b + 8b = 0 -5 + -22b = 36 + 0 -5 + -22b = 36 Add '5' to each side of the equation. -5 + 5 + -22b = 36 + 5 Combine like terms: -5 + 5 = 0 0 + -22b = 36 + 5 -22b = 36 + 5 Combine like terms: 36 + 5 = 41 -22b = 41 Divide each side by '-22'. b = -1.863636364 Simplifying b = -1.863636364
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