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Simplifying t(b + 7) + 5(b + 7) = 0 Reorder the terms: t(7 + b) + 5(b + 7) = 0 (7 * t + b * t) + 5(b + 7) = 0 Reorder the terms: (bt + 7t) + 5(b + 7) = 0 (bt + 7t) + 5(b + 7) = 0 Reorder the terms: bt + 7t + 5(7 + b) = 0 bt + 7t + (7 * 5 + b * 5) = 0 bt + 7t + (35 + 5b) = 0 Reorder the terms: 35 + 5b + bt + 7t = 0 Solving 35 + 5b + bt + 7t = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + 5b + bt + -35 + 7t = 0 + -35 Reorder the terms: 35 + -35 + 5b + bt + 7t = 0 + -35 Combine like terms: 35 + -35 = 0 0 + 5b + bt + 7t = 0 + -35 5b + bt + 7t = 0 + -35 Combine like terms: 0 + -35 = -35 5b + bt + 7t = -35 Add '-7t' to each side of the equation. 5b + bt + 7t + -7t = -35 + -7t Combine like terms: 7t + -7t = 0 5b + bt + 0 = -35 + -7t 5b + bt = -35 + -7t Reorder the terms: 35 + 5b + bt + 7t = -35 + -7t + 35 + 7t Reorder the terms: 35 + 5b + bt + 7t = -35 + 35 + -7t + 7t Combine like terms: -35 + 35 = 0 35 + 5b + bt + 7t = 0 + -7t + 7t 35 + 5b + bt + 7t = -7t + 7t Combine like terms: -7t + 7t = 0 35 + 5b + bt + 7t = 0 The solution to this equation could not be determined.
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