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Simplifying 0.11t + -2.9 = 0.08t + -0.5 Reorder the terms: -2.9 + 0.11t = 0.08t + -0.5 Reorder the terms: -2.9 + 0.11t = -0.5 + 0.08t Solving -2.9 + 0.11t = -0.5 + 0.08t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.08t' to each side of the equation. -2.9 + 0.11t + -0.08t = -0.5 + 0.08t + -0.08t Combine like terms: 0.11t + -0.08t = 0.03t -2.9 + 0.03t = -0.5 + 0.08t + -0.08t Combine like terms: 0.08t + -0.08t = 0.00 -2.9 + 0.03t = -0.5 + 0.00 -2.9 + 0.03t = -0.5 Add '2.9' to each side of the equation. -2.9 + 2.9 + 0.03t = -0.5 + 2.9 Combine like terms: -2.9 + 2.9 = 0.0 0.0 + 0.03t = -0.5 + 2.9 0.03t = -0.5 + 2.9 Combine like terms: -0.5 + 2.9 = 2.4 0.03t = 2.4 Divide each side by '0.03'. t = 80 Simplifying t = 80
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