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Simplifying 27 + 7b = -1b + -3(1 + -6b) 27 + 7b = -1b + (1 * -3 + -6b * -3) 27 + 7b = -1b + (-3 + 18b) Reorder the terms: 27 + 7b = -3 + -1b + 18b Combine like terms: -1b + 18b = 17b 27 + 7b = -3 + 17b Solving 27 + 7b = -3 + 17b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-17b' to each side of the equation. 27 + 7b + -17b = -3 + 17b + -17b Combine like terms: 7b + -17b = -10b 27 + -10b = -3 + 17b + -17b Combine like terms: 17b + -17b = 0 27 + -10b = -3 + 0 27 + -10b = -3 Add '-27' to each side of the equation. 27 + -27 + -10b = -3 + -27 Combine like terms: 27 + -27 = 0 0 + -10b = -3 + -27 -10b = -3 + -27 Combine like terms: -3 + -27 = -30 -10b = -30 Divide each side by '-10'. b = 3 Simplifying b = 3
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