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Simplifying 0.6(108 + t) = 4t + 52.9 (108 * 0.6 + t * 0.6) = 4t + 52.9 (64.8 + 0.6t) = 4t + 52.9 Reorder the terms: 64.8 + 0.6t = 52.9 + 4t Solving 64.8 + 0.6t = 52.9 + 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. 64.8 + 0.6t + -4t = 52.9 + 4t + -4t Combine like terms: 0.6t + -4t = -3.4t 64.8 + -3.4t = 52.9 + 4t + -4t Combine like terms: 4t + -4t = 0 64.8 + -3.4t = 52.9 + 0 64.8 + -3.4t = 52.9 Add '-64.8' to each side of the equation. 64.8 + -64.8 + -3.4t = 52.9 + -64.8 Combine like terms: 64.8 + -64.8 = 0.0 0.0 + -3.4t = 52.9 + -64.8 -3.4t = 52.9 + -64.8 Combine like terms: 52.9 + -64.8 = -11.9 -3.4t = -11.9 Divide each side by '-3.4'. t = 3.5 Simplifying t = 3.5
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