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Simplifying 2.0(7 + 2t) = 0.4t + 1.4 (7 * 2.0 + 2t * 2.0) = 0.4t + 1.4 (14 + 4t) = 0.4t + 1.4 Reorder the terms: 14 + 4t = 1.4 + 0.4t Solving 14 + 4t = 1.4 + 0.4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.4t' to each side of the equation. 14 + 4t + -0.4t = 1.4 + 0.4t + -0.4t Combine like terms: 4t + -0.4t = 3.6t 14 + 3.6t = 1.4 + 0.4t + -0.4t Combine like terms: 0.4t + -0.4t = 0.0 14 + 3.6t = 1.4 + 0.0 14 + 3.6t = 1.4 Add '-14' to each side of the equation. 14 + -14 + 3.6t = 1.4 + -14 Combine like terms: 14 + -14 = 0 0 + 3.6t = 1.4 + -14 3.6t = 1.4 + -14 Combine like terms: 1.4 + -14 = -12.6 3.6t = -12.6 Divide each side by '3.6'. t = -3.5 Simplifying t = -3.5
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