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Simplifying 3(b + 2) + -10 = 4b + -6 + b Reorder the terms: 3(2 + b) + -10 = 4b + -6 + b (2 * 3 + b * 3) + -10 = 4b + -6 + b (6 + 3b) + -10 = 4b + -6 + b Reorder the terms: 6 + -10 + 3b = 4b + -6 + b Combine like terms: 6 + -10 = -4 -4 + 3b = 4b + -6 + b Reorder the terms: -4 + 3b = -6 + 4b + b Combine like terms: 4b + b = 5b -4 + 3b = -6 + 5b Solving -4 + 3b = -6 + 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. -4 + 3b + -5b = -6 + 5b + -5b Combine like terms: 3b + -5b = -2b -4 + -2b = -6 + 5b + -5b Combine like terms: 5b + -5b = 0 -4 + -2b = -6 + 0 -4 + -2b = -6 Add '4' to each side of the equation. -4 + 4 + -2b = -6 + 4 Combine like terms: -4 + 4 = 0 0 + -2b = -6 + 4 -2b = -6 + 4 Combine like terms: -6 + 4 = -2 -2b = -2 Divide each side by '-2'. b = 1 Simplifying b = 1
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