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Simplifying 0.4(14 + t) = 4t + 3.8 (14 * 0.4 + t * 0.4) = 4t + 3.8 (5.6 + 0.4t) = 4t + 3.8 Reorder the terms: 5.6 + 0.4t = 3.8 + 4t Solving 5.6 + 0.4t = 3.8 + 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. 5.6 + 0.4t + -4t = 3.8 + 4t + -4t Combine like terms: 0.4t + -4t = -3.6t 5.6 + -3.6t = 3.8 + 4t + -4t Combine like terms: 4t + -4t = 0 5.6 + -3.6t = 3.8 + 0 5.6 + -3.6t = 3.8 Add '-5.6' to each side of the equation. 5.6 + -5.6 + -3.6t = 3.8 + -5.6 Combine like terms: 5.6 + -5.6 = 0.0 0.0 + -3.6t = 3.8 + -5.6 -3.6t = 3.8 + -5.6 Combine like terms: 3.8 + -5.6 = -1.8 -3.6t = -1.8 Divide each side by '-3.6'. t = 0.5 Simplifying t = 0.5
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