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Simplifying 7(b + 2) + -46 = 2(b + 10) Reorder the terms: 7(2 + b) + -46 = 2(b + 10) (2 * 7 + b * 7) + -46 = 2(b + 10) (14 + 7b) + -46 = 2(b + 10) Reorder the terms: 14 + -46 + 7b = 2(b + 10) Combine like terms: 14 + -46 = -32 -32 + 7b = 2(b + 10) Reorder the terms: -32 + 7b = 2(10 + b) -32 + 7b = (10 * 2 + b * 2) -32 + 7b = (20 + 2b) Solving -32 + 7b = 20 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. -32 + 7b + -2b = 20 + 2b + -2b Combine like terms: 7b + -2b = 5b -32 + 5b = 20 + 2b + -2b Combine like terms: 2b + -2b = 0 -32 + 5b = 20 + 0 -32 + 5b = 20 Add '32' to each side of the equation. -32 + 32 + 5b = 20 + 32 Combine like terms: -32 + 32 = 0 0 + 5b = 20 + 32 5b = 20 + 32 Combine like terms: 20 + 32 = 52 5b = 52 Divide each side by '5'. b = 10.4 Simplifying b = 10.4
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