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Simplifying 2.55t + 5 = 13.5t + 14 Reorder the terms: 5 + 2.55t = 13.5t + 14 Reorder the terms: 5 + 2.55t = 14 + 13.5t Solving 5 + 2.55t = 14 + 13.5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-13.5t' to each side of the equation. 5 + 2.55t + -13.5t = 14 + 13.5t + -13.5t Combine like terms: 2.55t + -13.5t = -10.95t 5 + -10.95t = 14 + 13.5t + -13.5t Combine like terms: 13.5t + -13.5t = 0.0 5 + -10.95t = 14 + 0.0 5 + -10.95t = 14 Add '-5' to each side of the equation. 5 + -5 + -10.95t = 14 + -5 Combine like terms: 5 + -5 = 0 0 + -10.95t = 14 + -5 -10.95t = 14 + -5 Combine like terms: 14 + -5 = 9 -10.95t = 9 Divide each side by '-10.95'. t = -0.8219178082 Simplifying t = -0.8219178082
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