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Simplifying 10b + -3 = 117 + -5b Reorder the terms: -3 + 10b = 117 + -5b Solving -3 + 10b = 117 + -5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '5b' to each side of the equation. -3 + 10b + 5b = 117 + -5b + 5b Combine like terms: 10b + 5b = 15b -3 + 15b = 117 + -5b + 5b Combine like terms: -5b + 5b = 0 -3 + 15b = 117 + 0 -3 + 15b = 117 Add '3' to each side of the equation. -3 + 3 + 15b = 117 + 3 Combine like terms: -3 + 3 = 0 0 + 15b = 117 + 3 15b = 117 + 3 Combine like terms: 117 + 3 = 120 15b = 120 Divide each side by '15'. b = 8 Simplifying b = 8
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