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Simplifying 4(2b + -6) + 11 = b + -13 Reorder the terms: 4(-6 + 2b) + 11 = b + -13 (-6 * 4 + 2b * 4) + 11 = b + -13 (-24 + 8b) + 11 = b + -13 Reorder the terms: -24 + 11 + 8b = b + -13 Combine like terms: -24 + 11 = -13 -13 + 8b = b + -13 Reorder the terms: -13 + 8b = -13 + b Add '13' to each side of the equation. -13 + 13 + 8b = -13 + 13 + b Combine like terms: -13 + 13 = 0 0 + 8b = -13 + 13 + b 8b = -13 + 13 + b Combine like terms: -13 + 13 = 0 8b = 0 + b 8b = b Solving 8b = b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1b' to each side of the equation. 8b + -1b = b + -1b Combine like terms: 8b + -1b = 7b 7b = b + -1b Combine like terms: b + -1b = 0 7b = 0 Divide each side by '7'. b = 0 Simplifying b = 0
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