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Simplifying 8b + 3 + -10b = -2b + -2(b + -2) + 3 Reorder the terms: 3 + 8b + -10b = -2b + -2(b + -2) + 3 Combine like terms: 8b + -10b = -2b 3 + -2b = -2b + -2(b + -2) + 3 Reorder the terms: 3 + -2b = -2b + -2(-2 + b) + 3 3 + -2b = -2b + (-2 * -2 + b * -2) + 3 3 + -2b = -2b + (4 + -2b) + 3 Reorder the terms: 3 + -2b = 4 + 3 + -2b + -2b Combine like terms: 4 + 3 = 7 3 + -2b = 7 + -2b + -2b Combine like terms: -2b + -2b = -4b 3 + -2b = 7 + -4b Solving 3 + -2b = 7 + -4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '4b' to each side of the equation. 3 + -2b + 4b = 7 + -4b + 4b Combine like terms: -2b + 4b = 2b 3 + 2b = 7 + -4b + 4b Combine like terms: -4b + 4b = 0 3 + 2b = 7 + 0 3 + 2b = 7 Add '-3' to each side of the equation. 3 + -3 + 2b = 7 + -3 Combine like terms: 3 + -3 = 0 0 + 2b = 7 + -3 2b = 7 + -3 Combine like terms: 7 + -3 = 4 2b = 4 Divide each side by '2'. b = 2 Simplifying b = 2
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