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Simplifying 3(6t + -4b) = 7(3t + 6b) Reorder the terms: 3(-4b + 6t) = 7(3t + 6b) (-4b * 3 + 6t * 3) = 7(3t + 6b) (-12b + 18t) = 7(3t + 6b) Reorder the terms: -12b + 18t = 7(6b + 3t) -12b + 18t = (6b * 7 + 3t * 7) -12b + 18t = (42b + 21t) Solving -12b + 18t = 42b + 21t Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-42b' to each side of the equation. -12b + -42b + 18t = 42b + -42b + 21t Combine like terms: -12b + -42b = -54b -54b + 18t = 42b + -42b + 21t Combine like terms: 42b + -42b = 0 -54b + 18t = 0 + 21t -54b + 18t = 21t Add '-18t' to each side of the equation. -54b + 18t + -18t = 21t + -18t Combine like terms: 18t + -18t = 0 -54b + 0 = 21t + -18t -54b = 21t + -18t Combine like terms: 21t + -18t = 3t -54b = 3t Divide each side by '-54'. b = -0.05555555556t Simplifying b = -0.05555555556t
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