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Simplifying -7(6 + 12b) + 7(-2b + 6) = 11b + -8b (6 * -7 + 12b * -7) + 7(-2b + 6) = 11b + -8b (-42 + -84b) + 7(-2b + 6) = 11b + -8b Reorder the terms: -42 + -84b + 7(6 + -2b) = 11b + -8b -42 + -84b + (6 * 7 + -2b * 7) = 11b + -8b -42 + -84b + (42 + -14b) = 11b + -8b Reorder the terms: -42 + 42 + -84b + -14b = 11b + -8b Combine like terms: -42 + 42 = 0 0 + -84b + -14b = 11b + -8b -84b + -14b = 11b + -8b Combine like terms: -84b + -14b = -98b -98b = 11b + -8b Combine like terms: 11b + -8b = 3b -98b = 3b Solving -98b = 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. -98b + -3b = 3b + -3b Combine like terms: -98b + -3b = -101b -101b = 3b + -3b Combine like terms: 3b + -3b = 0 -101b = 0 Divide each side by '-101'. b = 0 Simplifying b = 0
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