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Simplifying b + 39 = 4(-5b + -7) Reorder the terms: 39 + b = 4(-5b + -7) Reorder the terms: 39 + b = 4(-7 + -5b) 39 + b = (-7 * 4 + -5b * 4) 39 + b = (-28 + -20b) Solving 39 + b = -28 + -20b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '20b' to each side of the equation. 39 + b + 20b = -28 + -20b + 20b Combine like terms: b + 20b = 21b 39 + 21b = -28 + -20b + 20b Combine like terms: -20b + 20b = 0 39 + 21b = -28 + 0 39 + 21b = -28 Add '-39' to each side of the equation. 39 + -39 + 21b = -28 + -39 Combine like terms: 39 + -39 = 0 0 + 21b = -28 + -39 21b = -28 + -39 Combine like terms: -28 + -39 = -67 21b = -67 Divide each side by '21'. b = -3.19047619 Simplifying b = -3.19047619
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