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Simplifying 114 = 2(7b + 8) Reorder the terms: 114 = 2(8 + 7b) 114 = (8 * 2 + 7b * 2) 114 = (16 + 14b) Solving 114 = 16 + 14b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-14b' to each side of the equation. 114 + -14b = 16 + 14b + -14b Combine like terms: 14b + -14b = 0 114 + -14b = 16 + 0 114 + -14b = 16 Add '-114' to each side of the equation. 114 + -114 + -14b = 16 + -114 Combine like terms: 114 + -114 = 0 0 + -14b = 16 + -114 -14b = 16 + -114 Combine like terms: 16 + -114 = -98 -14b = -98 Divide each side by '-14'. b = 7 Simplifying b = 7
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