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Simplifying -6.1(2t + 5) + -2.7(4t + -6) = 0 Reorder the terms: -6.1(5 + 2t) + -2.7(4t + -6) = 0 (5 * -6.1 + 2t * -6.1) + -2.7(4t + -6) = 0 (-30.5 + -12.2t) + -2.7(4t + -6) = 0 Reorder the terms: -30.5 + -12.2t + -2.7(-6 + 4t) = 0 -30.5 + -12.2t + (-6 * -2.7 + 4t * -2.7) = 0 -30.5 + -12.2t + (16.2 + -10.8t) = 0 Reorder the terms: -30.5 + 16.2 + -12.2t + -10.8t = 0 Combine like terms: -30.5 + 16.2 = -14.3 -14.3 + -12.2t + -10.8t = 0 Combine like terms: -12.2t + -10.8t = -23t -14.3 + -23t = 0 Solving -14.3 + -23t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '14.3' to each side of the equation. -14.3 + 14.3 + -23t = 0 + 14.3 Combine like terms: -14.3 + 14.3 = 0.0 0.0 + -23t = 0 + 14.3 -23t = 0 + 14.3 Combine like terms: 0 + 14.3 = 14.3 -23t = 14.3 Divide each side by '-23'. t = -0.6217391304 Simplifying t = -0.6217391304
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