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Simplifying 46 + 10b = -11(10 + -2b) 46 + 10b = (10 * -11 + -2b * -11) 46 + 10b = (-110 + 22b) Solving 46 + 10b = -110 + 22b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-22b' to each side of the equation. 46 + 10b + -22b = -110 + 22b + -22b Combine like terms: 10b + -22b = -12b 46 + -12b = -110 + 22b + -22b Combine like terms: 22b + -22b = 0 46 + -12b = -110 + 0 46 + -12b = -110 Add '-46' to each side of the equation. 46 + -46 + -12b = -110 + -46 Combine like terms: 46 + -46 = 0 0 + -12b = -110 + -46 -12b = -110 + -46 Combine like terms: -110 + -46 = -156 -12b = -156 Divide each side by '-12'. b = 13 Simplifying b = 13
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