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Simplifying -8b + -40 = -6(1 + 7b) Reorder the terms: -40 + -8b = -6(1 + 7b) -40 + -8b = (1 * -6 + 7b * -6) -40 + -8b = (-6 + -42b) Solving -40 + -8b = -6 + -42b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '42b' to each side of the equation. -40 + -8b + 42b = -6 + -42b + 42b Combine like terms: -8b + 42b = 34b -40 + 34b = -6 + -42b + 42b Combine like terms: -42b + 42b = 0 -40 + 34b = -6 + 0 -40 + 34b = -6 Add '40' to each side of the equation. -40 + 40 + 34b = -6 + 40 Combine like terms: -40 + 40 = 0 0 + 34b = -6 + 40 34b = -6 + 40 Combine like terms: -6 + 40 = 34 34b = 34 Divide each side by '34'. b = 1 Simplifying b = 1
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