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Simplifying 6(8b + -10) = 7(b + -3) Reorder the terms: 6(-10 + 8b) = 7(b + -3) (-10 * 6 + 8b * 6) = 7(b + -3) (-60 + 48b) = 7(b + -3) Reorder the terms: -60 + 48b = 7(-3 + b) -60 + 48b = (-3 * 7 + b * 7) -60 + 48b = (-21 + 7b) Solving -60 + 48b = -21 + 7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7b' to each side of the equation. -60 + 48b + -7b = -21 + 7b + -7b Combine like terms: 48b + -7b = 41b -60 + 41b = -21 + 7b + -7b Combine like terms: 7b + -7b = 0 -60 + 41b = -21 + 0 -60 + 41b = -21 Add '60' to each side of the equation. -60 + 60 + 41b = -21 + 60 Combine like terms: -60 + 60 = 0 0 + 41b = -21 + 60 41b = -21 + 60 Combine like terms: -21 + 60 = 39 41b = 39 Divide each side by '41'. b = 0.9512195122 Simplifying b = 0.9512195122
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