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Simplifying 7(2b + -5) + -1(6 + -5b) = -41 Reorder the terms: 7(-5 + 2b) + -1(6 + -5b) = -41 (-5 * 7 + 2b * 7) + -1(6 + -5b) = -41 (-35 + 14b) + -1(6 + -5b) = -41 -35 + 14b + (6 * -1 + -5b * -1) = -41 -35 + 14b + (-6 + 5b) = -41 Reorder the terms: -35 + -6 + 14b + 5b = -41 Combine like terms: -35 + -6 = -41 -41 + 14b + 5b = -41 Combine like terms: 14b + 5b = 19b -41 + 19b = -41 Add '41' to each side of the equation. -41 + 41 + 19b = -41 + 41 Combine like terms: -41 + 41 = 0 0 + 19b = -41 + 41 19b = -41 + 41 Combine like terms: -41 + 41 = 0 19b = 0 Solving 19b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Divide each side by '19'. b = 0 Simplifying b = 0
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