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Simplifying -4(2b + -6) + 11 + 3b = 100 Reorder the terms: -4(-6 + 2b) + 11 + 3b = 100 (-6 * -4 + 2b * -4) + 11 + 3b = 100 (24 + -8b) + 11 + 3b = 100 Reorder the terms: 24 + 11 + -8b + 3b = 100 Combine like terms: 24 + 11 = 35 35 + -8b + 3b = 100 Combine like terms: -8b + 3b = -5b 35 + -5b = 100 Solving 35 + -5b = 100 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + -5b = 100 + -35 Combine like terms: 35 + -35 = 0 0 + -5b = 100 + -35 -5b = 100 + -35 Combine like terms: 100 + -35 = 65 -5b = 65 Divide each side by '-5'. b = -13 Simplifying b = -13
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