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Simplifying 5.4t + 14.6 + -10.1t = 12.8 + -3.5 + -0.6 Reorder the terms: 14.6 + 5.4t + -10.1t = 12.8 + -3.5 + -0.6 Combine like terms: 5.4t + -10.1t = -4.7t 14.6 + -4.7t = 12.8 + -3.5 + -0.6 Combine like terms: 12.8 + -3.5 = 9.3 14.6 + -4.7t = 9.3 + -0.6 Combine like terms: 9.3 + -0.6 = 8.7 14.6 + -4.7t = 8.7 Solving 14.6 + -4.7t = 8.7 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-14.6' to each side of the equation. 14.6 + -14.6 + -4.7t = 8.7 + -14.6 Combine like terms: 14.6 + -14.6 = 0.0 0.0 + -4.7t = 8.7 + -14.6 -4.7t = 8.7 + -14.6 Combine like terms: 8.7 + -14.6 = -5.9 -4.7t = -5.9 Divide each side by '-4.7'. t = 1.255319149 Simplifying t = 1.255319149
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