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Simplifying -6.7(2t + 5) + -2.7(4t + -6) = 0 Reorder the terms: -6.7(5 + 2t) + -2.7(4t + -6) = 0 (5 * -6.7 + 2t * -6.7) + -2.7(4t + -6) = 0 (-33.5 + -13.4t) + -2.7(4t + -6) = 0 Reorder the terms: -33.5 + -13.4t + -2.7(-6 + 4t) = 0 -33.5 + -13.4t + (-6 * -2.7 + 4t * -2.7) = 0 -33.5 + -13.4t + (16.2 + -10.8t) = 0 Reorder the terms: -33.5 + 16.2 + -13.4t + -10.8t = 0 Combine like terms: -33.5 + 16.2 = -17.3 -17.3 + -13.4t + -10.8t = 0 Combine like terms: -13.4t + -10.8t = -24.2t -17.3 + -24.2t = 0 Solving -17.3 + -24.2t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '17.3' to each side of the equation. -17.3 + 17.3 + -24.2t = 0 + 17.3 Combine like terms: -17.3 + 17.3 = 0.0 0.0 + -24.2t = 0 + 17.3 -24.2t = 0 + 17.3 Combine like terms: 0 + 17.3 = 17.3 -24.2t = 17.3 Divide each side by '-24.2'. t = -0.7148760331 Simplifying t = -0.7148760331
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