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Simplifying 11b + 19 = 6(b + -6) Reorder the terms: 19 + 11b = 6(b + -6) Reorder the terms: 19 + 11b = 6(-6 + b) 19 + 11b = (-6 * 6 + b * 6) 19 + 11b = (-36 + 6b) Solving 19 + 11b = -36 + 6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6b' to each side of the equation. 19 + 11b + -6b = -36 + 6b + -6b Combine like terms: 11b + -6b = 5b 19 + 5b = -36 + 6b + -6b Combine like terms: 6b + -6b = 0 19 + 5b = -36 + 0 19 + 5b = -36 Add '-19' to each side of the equation. 19 + -19 + 5b = -36 + -19 Combine like terms: 19 + -19 = 0 0 + 5b = -36 + -19 5b = -36 + -19 Combine like terms: -36 + -19 = -55 5b = -55 Divide each side by '5'. b = -11 Simplifying b = -11
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