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Simplifying 0.6(54 + t) = 4t + 27.3 (54 * 0.6 + t * 0.6) = 4t + 27.3 (32.4 + 0.6t) = 4t + 27.3 Reorder the terms: 32.4 + 0.6t = 27.3 + 4t Solving 32.4 + 0.6t = 27.3 + 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. 32.4 + 0.6t + -4t = 27.3 + 4t + -4t Combine like terms: 0.6t + -4t = -3.4t 32.4 + -3.4t = 27.3 + 4t + -4t Combine like terms: 4t + -4t = 0 32.4 + -3.4t = 27.3 + 0 32.4 + -3.4t = 27.3 Add '-32.4' to each side of the equation. 32.4 + -32.4 + -3.4t = 27.3 + -32.4 Combine like terms: 32.4 + -32.4 = 0.0 0.0 + -3.4t = 27.3 + -32.4 -3.4t = 27.3 + -32.4 Combine like terms: 27.3 + -32.4 = -5.1 -3.4t = -5.1 Divide each side by '-3.4'. t = 1.5 Simplifying t = 1.5
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