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Simplifying 9b + -10 = 2(3b + 4) Reorder the terms: -10 + 9b = 2(3b + 4) Reorder the terms: -10 + 9b = 2(4 + 3b) -10 + 9b = (4 * 2 + 3b * 2) -10 + 9b = (8 + 6b) Solving -10 + 9b = 8 + 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. -10 + 9b + -6b = 8 + 6b + -6b Combine like terms: 9b + -6b = 3b -10 + 3b = 8 + 6b + -6b Combine like terms: 6b + -6b = 0 -10 + 3b = 8 + 0 -10 + 3b = 8 Add '10' to each side of the equation. -10 + 10 + 3b = 8 + 10 Combine like terms: -10 + 10 = 0 0 + 3b = 8 + 10 3b = 8 + 10 Combine like terms: 8 + 10 = 18 3b = 18 Divide each side by '3'. b = 6 Simplifying b = 6
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