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Simplifying b + 16 = -6 + 6(b + -3) Reorder the terms: 16 + b = -6 + 6(b + -3) Reorder the terms: 16 + b = -6 + 6(-3 + b) 16 + b = -6 + (-3 * 6 + b * 6) 16 + b = -6 + (-18 + 6b) Combine like terms: -6 + -18 = -24 16 + b = -24 + 6b Solving 16 + b = -24 + 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. 16 + b + -6b = -24 + 6b + -6b Combine like terms: b + -6b = -5b 16 + -5b = -24 + 6b + -6b Combine like terms: 6b + -6b = 0 16 + -5b = -24 + 0 16 + -5b = -24 Add '-16' to each side of the equation. 16 + -16 + -5b = -24 + -16 Combine like terms: 16 + -16 = 0 0 + -5b = -24 + -16 -5b = -24 + -16 Combine like terms: -24 + -16 = -40 -5b = -40 Divide each side by '-5'. b = 8 Simplifying b = 8
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