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Simplifying 2(b + -4) + 9 = 4(b + -2) Reorder the terms: 2(-4 + b) + 9 = 4(b + -2) (-4 * 2 + b * 2) + 9 = 4(b + -2) (-8 + 2b) + 9 = 4(b + -2) Reorder the terms: -8 + 9 + 2b = 4(b + -2) Combine like terms: -8 + 9 = 1 1 + 2b = 4(b + -2) Reorder the terms: 1 + 2b = 4(-2 + b) 1 + 2b = (-2 * 4 + b * 4) 1 + 2b = (-8 + 4b) Solving 1 + 2b = -8 + 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. 1 + 2b + -4b = -8 + 4b + -4b Combine like terms: 2b + -4b = -2b 1 + -2b = -8 + 4b + -4b Combine like terms: 4b + -4b = 0 1 + -2b = -8 + 0 1 + -2b = -8 Add '-1' to each side of the equation. 1 + -1 + -2b = -8 + -1 Combine like terms: 1 + -1 = 0 0 + -2b = -8 + -1 -2b = -8 + -1 Combine like terms: -8 + -1 = -9 -2b = -9 Divide each side by '-2'. b = 4.5 Simplifying b = 4.5
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