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Simplifying -106 = 8 + -2(1 + -7b) -106 = 8 + (1 * -2 + -7b * -2) -106 = 8 + (-2 + 14b) Combine like terms: 8 + -2 = 6 -106 = 6 + 14b Solving -106 = 6 + 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. -106 + -14b = 6 + 14b + -14b Combine like terms: 14b + -14b = 0 -106 + -14b = 6 + 0 -106 + -14b = 6 Add '106' to each side of the equation. -106 + 106 + -14b = 6 + 106 Combine like terms: -106 + 106 = 0 0 + -14b = 6 + 106 -14b = 6 + 106 Combine like terms: 6 + 106 = 112 -14b = 112 Divide each side by '-14'. b = -8 Simplifying b = -8
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