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Simplifying 0.2(7 + 2t) = t + 1.4 (7 * 0.2 + 2t * 0.2) = t + 1.4 (1.4 + 0.4t) = t + 1.4 Reorder the terms: 1.4 + 0.4t = 1.4 + t Add '-1.4' to each side of the equation. 1.4 + -1.4 + 0.4t = 1.4 + -1.4 + t Combine like terms: 1.4 + -1.4 = 0.0 0.0 + 0.4t = 1.4 + -1.4 + t 0.4t = 1.4 + -1.4 + t Combine like terms: 1.4 + -1.4 = 0.0 0.4t = 0.0 + t 0.4t = t Solving 0.4t = t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. 0.4t + -1t = t + -1t Combine like terms: 0.4t + -1t = -0.6t -0.6t = t + -1t Combine like terms: t + -1t = 0 -0.6t = 0 Divide each side by '-0.6'. t = 0 Simplifying t = 0
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