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Simplifying 4(b + -2) = b + 7 + 2b Reorder the terms: 4(-2 + b) = b + 7 + 2b (-2 * 4 + b * 4) = b + 7 + 2b (-8 + 4b) = b + 7 + 2b Reorder the terms: -8 + 4b = 7 + b + 2b Combine like terms: b + 2b = 3b -8 + 4b = 7 + 3b Solving -8 + 4b = 7 + 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. -8 + 4b + -3b = 7 + 3b + -3b Combine like terms: 4b + -3b = 1b -8 + 1b = 7 + 3b + -3b Combine like terms: 3b + -3b = 0 -8 + 1b = 7 + 0 -8 + 1b = 7 Add '8' to each side of the equation. -8 + 8 + 1b = 7 + 8 Combine like terms: -8 + 8 = 0 0 + 1b = 7 + 8 1b = 7 + 8 Combine like terms: 7 + 8 = 15 1b = 15 Divide each side by '1'. b = 15 Simplifying b = 15
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