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Simplifying 3b + -8 = 10 + 2(b + -3) Reorder the terms: -8 + 3b = 10 + 2(b + -3) Reorder the terms: -8 + 3b = 10 + 2(-3 + b) -8 + 3b = 10 + (-3 * 2 + b * 2) -8 + 3b = 10 + (-6 + 2b) Combine like terms: 10 + -6 = 4 -8 + 3b = 4 + 2b Solving -8 + 3b = 4 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. -8 + 3b + -2b = 4 + 2b + -2b Combine like terms: 3b + -2b = 1b -8 + 1b = 4 + 2b + -2b Combine like terms: 2b + -2b = 0 -8 + 1b = 4 + 0 -8 + 1b = 4 Add '8' to each side of the equation. -8 + 8 + 1b = 4 + 8 Combine like terms: -8 + 8 = 0 0 + 1b = 4 + 8 1b = 4 + 8 Combine like terms: 4 + 8 = 12 1b = 12 Divide each side by '1'. b = 12 Simplifying b = 12
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