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Simplifying 5.4 + 14.6 + -10.1t = 12.8 + -3.5t + -0.6 Combine like terms: 5.4 + 14.6 = 20 20 + -10.1t = 12.8 + -3.5t + -0.6 Reorder the terms: 20 + -10.1t = 12.8 + -0.6 + -3.5t Combine like terms: 12.8 + -0.6 = 12.2 20 + -10.1t = 12.2 + -3.5t Solving 20 + -10.1t = 12.2 + -3.5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3.5t' to each side of the equation. 20 + -10.1t + 3.5t = 12.2 + -3.5t + 3.5t Combine like terms: -10.1t + 3.5t = -6.6t 20 + -6.6t = 12.2 + -3.5t + 3.5t Combine like terms: -3.5t + 3.5t = 0.0 20 + -6.6t = 12.2 + 0.0 20 + -6.6t = 12.2 Add '-20' to each side of the equation. 20 + -20 + -6.6t = 12.2 + -20 Combine like terms: 20 + -20 = 0 0 + -6.6t = 12.2 + -20 -6.6t = 12.2 + -20 Combine like terms: 12.2 + -20 = -7.8 -6.6t = -7.8 Divide each side by '-6.6'. t = 1.181818182 Simplifying t = 1.181818182
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