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Simplifying -0.9t + 2.65 = 0.5t + 5.45 Reorder the terms: 2.65 + -0.9t = 0.5t + 5.45 Reorder the terms: 2.65 + -0.9t = 5.45 + 0.5t Solving 2.65 + -0.9t = 5.45 + 0.5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.5t' to each side of the equation. 2.65 + -0.9t + -0.5t = 5.45 + 0.5t + -0.5t Combine like terms: -0.9t + -0.5t = -1.4t 2.65 + -1.4t = 5.45 + 0.5t + -0.5t Combine like terms: 0.5t + -0.5t = 0.0 2.65 + -1.4t = 5.45 + 0.0 2.65 + -1.4t = 5.45 Add '-2.65' to each side of the equation. 2.65 + -2.65 + -1.4t = 5.45 + -2.65 Combine like terms: 2.65 + -2.65 = 0.00 0.00 + -1.4t = 5.45 + -2.65 -1.4t = 5.45 + -2.65 Combine like terms: 5.45 + -2.65 = 2.8 -1.4t = 2.8 Divide each side by '-1.4'. t = -2 Simplifying t = -2
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