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Simplifying -27 + 7b = 2(-7 + 7b) + 6 -27 + 7b = (-7 * 2 + 7b * 2) + 6 -27 + 7b = (-14 + 14b) + 6 Reorder the terms: -27 + 7b = -14 + 6 + 14b Combine like terms: -14 + 6 = -8 -27 + 7b = -8 + 14b Solving -27 + 7b = -8 + 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. -27 + 7b + -14b = -8 + 14b + -14b Combine like terms: 7b + -14b = -7b -27 + -7b = -8 + 14b + -14b Combine like terms: 14b + -14b = 0 -27 + -7b = -8 + 0 -27 + -7b = -8 Add '27' to each side of the equation. -27 + 27 + -7b = -8 + 27 Combine like terms: -27 + 27 = 0 0 + -7b = -8 + 27 -7b = -8 + 27 Combine like terms: -8 + 27 = 19 -7b = 19 Divide each side by '-7'. b = -2.714285714 Simplifying b = -2.714285714
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