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Simplifying 0.4(8 + t) = 5t + 0.9 (8 * 0.4 + t * 0.4) = 5t + 0.9 (3.2 + 0.4t) = 5t + 0.9 Reorder the terms: 3.2 + 0.4t = 0.9 + 5t Solving 3.2 + 0.4t = 0.9 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. 3.2 + 0.4t + -5t = 0.9 + 5t + -5t Combine like terms: 0.4t + -5t = -4.6t 3.2 + -4.6t = 0.9 + 5t + -5t Combine like terms: 5t + -5t = 0 3.2 + -4.6t = 0.9 + 0 3.2 + -4.6t = 0.9 Add '-3.2' to each side of the equation. 3.2 + -3.2 + -4.6t = 0.9 + -3.2 Combine like terms: 3.2 + -3.2 = 0.0 0.0 + -4.6t = 0.9 + -3.2 -4.6t = 0.9 + -3.2 Combine like terms: 0.9 + -3.2 = -2.3 -4.6t = -2.3 Divide each side by '-4.6'. t = 0.5 Simplifying t = 0.5
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