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Simplifying 10b + -3 = 3(6 + b) Reorder the terms: -3 + 10b = 3(6 + b) -3 + 10b = (6 * 3 + b * 3) -3 + 10b = (18 + 3b) Solving -3 + 10b = 18 + 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. -3 + 10b + -3b = 18 + 3b + -3b Combine like terms: 10b + -3b = 7b -3 + 7b = 18 + 3b + -3b Combine like terms: 3b + -3b = 0 -3 + 7b = 18 + 0 -3 + 7b = 18 Add '3' to each side of the equation. -3 + 3 + 7b = 18 + 3 Combine like terms: -3 + 3 = 0 0 + 7b = 18 + 3 7b = 18 + 3 Combine like terms: 18 + 3 = 21 7b = 21 Divide each side by '7'. b = 3 Simplifying b = 3
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