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Simplifying -114 = -2(1 + 7b) -114 = (1 * -2 + 7b * -2) -114 = (-2 + -14b) Solving -114 = -2 + -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 = -2 + -14b + 14b Combine like terms: -14b + 14b = 0 -114 + 14b = -2 + 0 -114 + 14b = -2 Add '114' to each side of the equation. -114 + 114 + 14b = -2 + 114 Combine like terms: -114 + 114 = 0 0 + 14b = -2 + 114 14b = -2 + 114 Combine like terms: -2 + 114 = 112 14b = 112 Divide each side by '14'. b = 8 Simplifying b = 8
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