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Simplifying 5(2b + -6) + 11 = 8b + -13 Reorder the terms: 5(-6 + 2b) + 11 = 8b + -13 (-6 * 5 + 2b * 5) + 11 = 8b + -13 (-30 + 10b) + 11 = 8b + -13 Reorder the terms: -30 + 11 + 10b = 8b + -13 Combine like terms: -30 + 11 = -19 -19 + 10b = 8b + -13 Reorder the terms: -19 + 10b = -13 + 8b Solving -19 + 10b = -13 + 8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8b' to each side of the equation. -19 + 10b + -8b = -13 + 8b + -8b Combine like terms: 10b + -8b = 2b -19 + 2b = -13 + 8b + -8b Combine like terms: 8b + -8b = 0 -19 + 2b = -13 + 0 -19 + 2b = -13 Add '19' to each side of the equation. -19 + 19 + 2b = -13 + 19 Combine like terms: -19 + 19 = 0 0 + 2b = -13 + 19 2b = -13 + 19 Combine like terms: -13 + 19 = 6 2b = 6 Divide each side by '2'. b = 3 Simplifying b = 3
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