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Simplifying 2(b + -4) + 4 = 5(9 + -1b) Reorder the terms: 2(-4 + b) + 4 = 5(9 + -1b) (-4 * 2 + b * 2) + 4 = 5(9 + -1b) (-8 + 2b) + 4 = 5(9 + -1b) Reorder the terms: -8 + 4 + 2b = 5(9 + -1b) Combine like terms: -8 + 4 = -4 -4 + 2b = 5(9 + -1b) -4 + 2b = (9 * 5 + -1b * 5) -4 + 2b = (45 + -5b) Solving -4 + 2b = 45 + -5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '5b' to each side of the equation. -4 + 2b + 5b = 45 + -5b + 5b Combine like terms: 2b + 5b = 7b -4 + 7b = 45 + -5b + 5b Combine like terms: -5b + 5b = 0 -4 + 7b = 45 + 0 -4 + 7b = 45 Add '4' to each side of the equation. -4 + 4 + 7b = 45 + 4 Combine like terms: -4 + 4 = 0 0 + 7b = 45 + 4 7b = 45 + 4 Combine like terms: 45 + 4 = 49 7b = 49 Divide each side by '7'. b = 7 Simplifying b = 7
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