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Simplifying 6b + 24 = 6b + 6(b + -4) Reorder the terms: 24 + 6b = 6b + 6(b + -4) Reorder the terms: 24 + 6b = 6b + 6(-4 + b) 24 + 6b = 6b + (-4 * 6 + b * 6) 24 + 6b = 6b + (-24 + 6b) Reorder the terms: 24 + 6b = -24 + 6b + 6b Combine like terms: 6b + 6b = 12b 24 + 6b = -24 + 12b Solving 24 + 6b = -24 + 12b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-12b' to each side of the equation. 24 + 6b + -12b = -24 + 12b + -12b Combine like terms: 6b + -12b = -6b 24 + -6b = -24 + 12b + -12b Combine like terms: 12b + -12b = 0 24 + -6b = -24 + 0 24 + -6b = -24 Add '-24' to each side of the equation. 24 + -24 + -6b = -24 + -24 Combine like terms: 24 + -24 = 0 0 + -6b = -24 + -24 -6b = -24 + -24 Combine like terms: -24 + -24 = -48 -6b = -48 Divide each side by '-6'. b = 8 Simplifying b = 8
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