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Simplifying 6(1 + -6b) = -3b + -27 (1 * 6 + -6b * 6) = -3b + -27 (6 + -36b) = -3b + -27 Reorder the terms: 6 + -36b = -27 + -3b Solving 6 + -36b = -27 + -3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '3b' to each side of the equation. 6 + -36b + 3b = -27 + -3b + 3b Combine like terms: -36b + 3b = -33b 6 + -33b = -27 + -3b + 3b Combine like terms: -3b + 3b = 0 6 + -33b = -27 + 0 6 + -33b = -27 Add '-6' to each side of the equation. 6 + -6 + -33b = -27 + -6 Combine like terms: 6 + -6 = 0 0 + -33b = -27 + -6 -33b = -27 + -6 Combine like terms: -27 + -6 = -33 -33b = -33 Divide each side by '-33'. b = 1 Simplifying b = 1
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