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Simplifying -6.6(4t + 6) + -1.1(3t + -5) = 0 Reorder the terms: -6.6(6 + 4t) + -1.1(3t + -5) = 0 (6 * -6.6 + 4t * -6.6) + -1.1(3t + -5) = 0 (-39.6 + -26.4t) + -1.1(3t + -5) = 0 Reorder the terms: -39.6 + -26.4t + -1.1(-5 + 3t) = 0 -39.6 + -26.4t + (-5 * -1.1 + 3t * -1.1) = 0 -39.6 + -26.4t + (5.5 + -3.3t) = 0 Reorder the terms: -39.6 + 5.5 + -26.4t + -3.3t = 0 Combine like terms: -39.6 + 5.5 = -34.1 -34.1 + -26.4t + -3.3t = 0 Combine like terms: -26.4t + -3.3t = -29.7t -34.1 + -29.7t = 0 Solving -34.1 + -29.7t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '34.1' to each side of the equation. -34.1 + 34.1 + -29.7t = 0 + 34.1 Combine like terms: -34.1 + 34.1 = 0.0 0.0 + -29.7t = 0 + 34.1 -29.7t = 0 + 34.1 Combine like terms: 0 + 34.1 = 34.1 -29.7t = 34.1 Divide each side by '-29.7'. t = -1.148148148 Simplifying t = -1.148148148
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