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Simplifying 5(b + 5) + 7 = 2(4 + -3b) + 7 Reorder the terms: 5(5 + b) + 7 = 2(4 + -3b) + 7 (5 * 5 + b * 5) + 7 = 2(4 + -3b) + 7 (25 + 5b) + 7 = 2(4 + -3b) + 7 Reorder the terms: 25 + 7 + 5b = 2(4 + -3b) + 7 Combine like terms: 25 + 7 = 32 32 + 5b = 2(4 + -3b) + 7 32 + 5b = (4 * 2 + -3b * 2) + 7 32 + 5b = (8 + -6b) + 7 Reorder the terms: 32 + 5b = 8 + 7 + -6b Combine like terms: 8 + 7 = 15 32 + 5b = 15 + -6b Solving 32 + 5b = 15 + -6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '6b' to each side of the equation. 32 + 5b + 6b = 15 + -6b + 6b Combine like terms: 5b + 6b = 11b 32 + 11b = 15 + -6b + 6b Combine like terms: -6b + 6b = 0 32 + 11b = 15 + 0 32 + 11b = 15 Add '-32' to each side of the equation. 32 + -32 + 11b = 15 + -32 Combine like terms: 32 + -32 = 0 0 + 11b = 15 + -32 11b = 15 + -32 Combine like terms: 15 + -32 = -17 11b = -17 Divide each side by '11'. b = -1.545454545 Simplifying b = -1.545454545
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