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Simplifying 2.5 + 0.8t = -6.7t + -1(-6.5t + -0.5) Reorder the terms: 2.5 + 0.8t = -6.7t + -1(-0.5 + -6.5t) 2.5 + 0.8t = -6.7t + (-0.5 * -1 + -6.5t * -1) 2.5 + 0.8t = -6.7t + (0.5 + 6.5t) Reorder the terms: 2.5 + 0.8t = 0.5 + -6.7t + 6.5t Combine like terms: -6.7t + 6.5t = -0.2t 2.5 + 0.8t = 0.5 + -0.2t Solving 2.5 + 0.8t = 0.5 + -0.2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '0.2t' to each side of the equation. 2.5 + 0.8t + 0.2t = 0.5 + -0.2t + 0.2t Combine like terms: 0.8t + 0.2t = 1t 2.5 + 1t = 0.5 + -0.2t + 0.2t Combine like terms: -0.2t + 0.2t = 0.0 2.5 + 1t = 0.5 + 0.0 2.5 + 1t = 0.5 Add '-2.5' to each side of the equation. 2.5 + -2.5 + 1t = 0.5 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + 1t = 0.5 + -2.5 1t = 0.5 + -2.5 Combine like terms: 0.5 + -2.5 = -2 1t = -2 Divide each side by '1'. t = -2 Simplifying t = -2
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