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Simplifying 0.06(5t + 6) = 0.03(t + 5) + -1.14 Reorder the terms: 0.06(6 + 5t) = 0.03(t + 5) + -1.14 (6 * 0.06 + 5t * 0.06) = 0.03(t + 5) + -1.14 (0.36 + 0.3t) = 0.03(t + 5) + -1.14 Reorder the terms: 0.36 + 0.3t = 0.03(5 + t) + -1.14 0.36 + 0.3t = (5 * 0.03 + t * 0.03) + -1.14 0.36 + 0.3t = (0.15 + 0.03t) + -1.14 Reorder the terms: 0.36 + 0.3t = 0.15 + -1.14 + 0.03t Combine like terms: 0.15 + -1.14 = -0.99 0.36 + 0.3t = -0.99 + 0.03t Solving 0.36 + 0.3t = -0.99 + 0.03t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.03t' to each side of the equation. 0.36 + 0.3t + -0.03t = -0.99 + 0.03t + -0.03t Combine like terms: 0.3t + -0.03t = 0.27t 0.36 + 0.27t = -0.99 + 0.03t + -0.03t Combine like terms: 0.03t + -0.03t = 0.00 0.36 + 0.27t = -0.99 + 0.00 0.36 + 0.27t = -0.99 Add '-0.36' to each side of the equation. 0.36 + -0.36 + 0.27t = -0.99 + -0.36 Combine like terms: 0.36 + -0.36 = 0.00 0.00 + 0.27t = -0.99 + -0.36 0.27t = -0.99 + -0.36 Combine like terms: -0.99 + -0.36 = -1.35 0.27t = -1.35 Divide each side by '0.27'. t = -5 Simplifying t = -5
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