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Simplifying 0.2(7 + 2t) = 4t + 1.4 (7 * 0.2 + 2t * 0.2) = 4t + 1.4 (1.4 + 0.4t) = 4t + 1.4 Reorder the terms: 1.4 + 0.4t = 1.4 + 4t Add '-1.4' to each side of the equation. 1.4 + -1.4 + 0.4t = 1.4 + -1.4 + 4t Combine like terms: 1.4 + -1.4 = 0.0 0.0 + 0.4t = 1.4 + -1.4 + 4t 0.4t = 1.4 + -1.4 + 4t Combine like terms: 1.4 + -1.4 = 0.0 0.4t = 0.0 + 4t 0.4t = 4t Solving 0.4t = 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 0.4t + -4t = 4t + -4t Combine like terms: 0.4t + -4t = -3.6t -3.6t = 4t + -4t Combine like terms: 4t + -4t = 0 -3.6t = 0 Divide each side by '-3.6'. t = 0 Simplifying t = 0
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