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Simplifying 6b + 3(-6 + -11b) = 3(-2 + -7b) 6b + (-6 * 3 + -11b * 3) = 3(-2 + -7b) 6b + (-18 + -33b) = 3(-2 + -7b) Reorder the terms: -18 + 6b + -33b = 3(-2 + -7b) Combine like terms: 6b + -33b = -27b -18 + -27b = 3(-2 + -7b) -18 + -27b = (-2 * 3 + -7b * 3) -18 + -27b = (-6 + -21b) Solving -18 + -27b = -6 + -21b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '21b' to each side of the equation. -18 + -27b + 21b = -6 + -21b + 21b Combine like terms: -27b + 21b = -6b -18 + -6b = -6 + -21b + 21b Combine like terms: -21b + 21b = 0 -18 + -6b = -6 + 0 -18 + -6b = -6 Add '18' to each side of the equation. -18 + 18 + -6b = -6 + 18 Combine like terms: -18 + 18 = 0 0 + -6b = -6 + 18 -6b = -6 + 18 Combine like terms: -6 + 18 = 12 -6b = 12 Divide each side by '-6'. b = -2 Simplifying b = -2
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