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Simplifying -9(10 + b) + -2b = -34 + 3b (10 * -9 + b * -9) + -2b = -34 + 3b (-90 + -9b) + -2b = -34 + 3b Combine like terms: -9b + -2b = -11b -90 + -11b = -34 + 3b Solving -90 + -11b = -34 + 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. -90 + -11b + -3b = -34 + 3b + -3b Combine like terms: -11b + -3b = -14b -90 + -14b = -34 + 3b + -3b Combine like terms: 3b + -3b = 0 -90 + -14b = -34 + 0 -90 + -14b = -34 Add '90' to each side of the equation. -90 + 90 + -14b = -34 + 90 Combine like terms: -90 + 90 = 0 0 + -14b = -34 + 90 -14b = -34 + 90 Combine like terms: -34 + 90 = 56 -14b = 56 Divide each side by '-14'. b = -4 Simplifying b = -4
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