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Simplifying -6.9(4t + 6) + -2.7(2t + -4) = 0 Reorder the terms: -6.9(6 + 4t) + -2.7(2t + -4) = 0 (6 * -6.9 + 4t * -6.9) + -2.7(2t + -4) = 0 (-41.4 + -27.6t) + -2.7(2t + -4) = 0 Reorder the terms: -41.4 + -27.6t + -2.7(-4 + 2t) = 0 -41.4 + -27.6t + (-4 * -2.7 + 2t * -2.7) = 0 -41.4 + -27.6t + (10.8 + -5.4t) = 0 Reorder the terms: -41.4 + 10.8 + -27.6t + -5.4t = 0 Combine like terms: -41.4 + 10.8 = -30.6 -30.6 + -27.6t + -5.4t = 0 Combine like terms: -27.6t + -5.4t = -33t -30.6 + -33t = 0 Solving -30.6 + -33t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '30.6' to each side of the equation. -30.6 + 30.6 + -33t = 0 + 30.6 Combine like terms: -30.6 + 30.6 = 0.0 0.0 + -33t = 0 + 30.6 -33t = 0 + 30.6 Combine like terms: 0 + 30.6 = 30.6 -33t = 30.6 Divide each side by '-33'. t = -0.9272727273 Simplifying t = -0.9272727273
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