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Simplifying -35 + -1b = 5(1 + -7b) + -6b -35 + -1b = (1 * 5 + -7b * 5) + -6b -35 + -1b = (5 + -35b) + -6b Combine like terms: -35b + -6b = -41b -35 + -1b = 5 + -41b Solving -35 + -1b = 5 + -41b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '41b' to each side of the equation. -35 + -1b + 41b = 5 + -41b + 41b Combine like terms: -1b + 41b = 40b -35 + 40b = 5 + -41b + 41b Combine like terms: -41b + 41b = 0 -35 + 40b = 5 + 0 -35 + 40b = 5 Add '35' to each side of the equation. -35 + 35 + 40b = 5 + 35 Combine like terms: -35 + 35 = 0 0 + 40b = 5 + 35 40b = 5 + 35 Combine like terms: 5 + 35 = 40 40b = 40 Divide each side by '40'. b = 1 Simplifying b = 1
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