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Simplifying 7 + 2(b + -3) = b + 4 Reorder the terms: 7 + 2(-3 + b) = b + 4 7 + (-3 * 2 + b * 2) = b + 4 7 + (-6 + 2b) = b + 4 Combine like terms: 7 + -6 = 1 1 + 2b = b + 4 Reorder the terms: 1 + 2b = 4 + b Solving 1 + 2b = 4 + b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1b' to each side of the equation. 1 + 2b + -1b = 4 + b + -1b Combine like terms: 2b + -1b = 1b 1 + 1b = 4 + b + -1b Combine like terms: b + -1b = 0 1 + 1b = 4 + 0 1 + 1b = 4 Add '-1' to each side of the equation. 1 + -1 + 1b = 4 + -1 Combine like terms: 1 + -1 = 0 0 + 1b = 4 + -1 1b = 4 + -1 Combine like terms: 4 + -1 = 3 1b = 3 Divide each side by '1'. b = 3 Simplifying b = 3
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