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Simplifying 2t + -1(3 + 2.5t) = -2.7 2t + (3 * -1 + 2.5t * -1) = -2.7 2t + (-3 + -2.5t) = -2.7 Reorder the terms: -3 + 2t + -2.5t = -2.7 Combine like terms: 2t + -2.5t = -0.5t -3 + -0.5t = -2.7 Solving -3 + -0.5t = -2.7 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -0.5t = -2.7 + 3 Combine like terms: -3 + 3 = 0 0 + -0.5t = -2.7 + 3 -0.5t = -2.7 + 3 Combine like terms: -2.7 + 3 = 0.3 -0.5t = 0.3 Divide each side by '-0.5'. t = -0.6 Simplifying t = -0.6
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