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Simplifying 7.5t + 16.84 = 10.55 + 14.5t + 13.99 Reorder the terms: 16.84 + 7.5t = 10.55 + 14.5t + 13.99 Reorder the terms: 16.84 + 7.5t = 10.55 + 13.99 + 14.5t Combine like terms: 10.55 + 13.99 = 24.54 16.84 + 7.5t = 24.54 + 14.5t Solving 16.84 + 7.5t = 24.54 + 14.5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-14.5t' to each side of the equation. 16.84 + 7.5t + -14.5t = 24.54 + 14.5t + -14.5t Combine like terms: 7.5t + -14.5t = -7t 16.84 + -7t = 24.54 + 14.5t + -14.5t Combine like terms: 14.5t + -14.5t = 0.0 16.84 + -7t = 24.54 + 0.0 16.84 + -7t = 24.54 Add '-16.84' to each side of the equation. 16.84 + -16.84 + -7t = 24.54 + -16.84 Combine like terms: 16.84 + -16.84 = 0.00 0.00 + -7t = 24.54 + -16.84 -7t = 24.54 + -16.84 Combine like terms: 24.54 + -16.84 = 7.7 -7t = 7.7 Divide each side by '-7'. t = -1.1 Simplifying t = -1.1
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