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Simplifying 4b + -1(7b + t) = 15 4b + (7b * -1 + t * -1) = 15 4b + (-7b + -1t) = 15 Combine like terms: 4b + -7b = -3b -3b + -1t = 15 Solving -3b + -1t = 15 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add 't' to each side of the equation. -3b + -1t + t = 15 + t Combine like terms: -1t + t = 0 -3b + 0 = 15 + t -3b = 15 + t Divide each side by '-3'. b = -5 + -0.3333333333t Simplifying b = -5 + -0.3333333333t
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