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Simplifying 100 = -8 + 2(6 + 6b) 100 = -8 + (6 * 2 + 6b * 2) 100 = -8 + (12 + 12b) Combine like terms: -8 + 12 = 4 100 = 4 + 12b Solving 100 = 4 + 12b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-12b' to each side of the equation. 100 + -12b = 4 + 12b + -12b Combine like terms: 12b + -12b = 0 100 + -12b = 4 + 0 100 + -12b = 4 Add '-100' to each side of the equation. 100 + -100 + -12b = 4 + -100 Combine like terms: 100 + -100 = 0 0 + -12b = 4 + -100 -12b = 4 + -100 Combine like terms: 4 + -100 = -96 -12b = -96 Divide each side by '-12'. b = 8 Simplifying b = 8
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