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Simplifying 0.5t + -0.2 = 2.6 + -0.4(2t + 7) Reorder the terms: -0.2 + 0.5t = 2.6 + -0.4(2t + 7) Reorder the terms: -0.2 + 0.5t = 2.6 + -0.4(7 + 2t) -0.2 + 0.5t = 2.6 + (7 * -0.4 + 2t * -0.4) -0.2 + 0.5t = 2.6 + (-2.8 + -0.8t) Combine like terms: 2.6 + -2.8 = -0.2 -0.2 + 0.5t = -0.2 + -0.8t Add '0.2' to each side of the equation. -0.2 + 0.2 + 0.5t = -0.2 + 0.2 + -0.8t Combine like terms: -0.2 + 0.2 = 0.0 0.0 + 0.5t = -0.2 + 0.2 + -0.8t 0.5t = -0.2 + 0.2 + -0.8t Combine like terms: -0.2 + 0.2 = 0.0 0.5t = 0.0 + -0.8t 0.5t = -0.8t Solving 0.5t = -0.8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '0.8t' to each side of the equation. 0.5t + 0.8t = -0.8t + 0.8t Combine like terms: 0.5t + 0.8t = 1.3t 1.3t = -0.8t + 0.8t Combine like terms: -0.8t + 0.8t = 0.0 1.3t = 0.0 Divide each side by '1.3'. t = 0 Simplifying t = 0
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