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Simplifying 17b + 6 = -7b + 78 Reorder the terms: 6 + 17b = -7b + 78 Reorder the terms: 6 + 17b = 78 + -7b Solving 6 + 17b = 78 + -7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '7b' to each side of the equation. 6 + 17b + 7b = 78 + -7b + 7b Combine like terms: 17b + 7b = 24b 6 + 24b = 78 + -7b + 7b Combine like terms: -7b + 7b = 0 6 + 24b = 78 + 0 6 + 24b = 78 Add '-6' to each side of the equation. 6 + -6 + 24b = 78 + -6 Combine like terms: 6 + -6 = 0 0 + 24b = 78 + -6 24b = 78 + -6 Combine like terms: 78 + -6 = 72 24b = 72 Divide each side by '24'. b = 3 Simplifying b = 3
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