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Simplifying 2.5(2t + -8v) + -3(3v + 1.5t) = 0 (2t * 2.5 + -8v * 2.5) + -3(3v + 1.5t) = 0 (5t + -20v) + -3(3v + 1.5t) = 0 Reorder the terms: 5t + -20v + -3(1.5t + 3v) = 0 5t + -20v + (1.5t * -3 + 3v * -3) = 0 5t + -20v + (-4.5t + -9v) = 0 Reorder the terms: 5t + -4.5t + -20v + -9v = 0 Combine like terms: 5t + -4.5t = 0.5t 0.5t + -20v + -9v = 0 Combine like terms: -20v + -9v = -29v 0.5t + -29v = 0 Solving 0.5t + -29v = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '29v' to each side of the equation. 0.5t + -29v + 29v = 0 + 29v Combine like terms: -29v + 29v = 0 0.5t + 0 = 0 + 29v 0.5t = 0 + 29v Remove the zero: 0.5t = 29v Divide each side by '0.5'. t = 58v Simplifying t = 58v
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