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Simplifying 6b + 24 = 13b + -53 Reorder the terms: 24 + 6b = 13b + -53 Reorder the terms: 24 + 6b = -53 + 13b Solving 24 + 6b = -53 + 13b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-13b' to each side of the equation. 24 + 6b + -13b = -53 + 13b + -13b Combine like terms: 6b + -13b = -7b 24 + -7b = -53 + 13b + -13b Combine like terms: 13b + -13b = 0 24 + -7b = -53 + 0 24 + -7b = -53 Add '-24' to each side of the equation. 24 + -24 + -7b = -53 + -24 Combine like terms: 24 + -24 = 0 0 + -7b = -53 + -24 -7b = -53 + -24 Combine like terms: -53 + -24 = -77 -7b = -77 Divide each side by '-7'. b = 11 Simplifying b = 11
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