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Simplifying -6.2(3t + 5) + -1.7(4t + -6) = 0 Reorder the terms: -6.2(5 + 3t) + -1.7(4t + -6) = 0 (5 * -6.2 + 3t * -6.2) + -1.7(4t + -6) = 0 (-31 + -18.6t) + -1.7(4t + -6) = 0 Reorder the terms: -31 + -18.6t + -1.7(-6 + 4t) = 0 -31 + -18.6t + (-6 * -1.7 + 4t * -1.7) = 0 -31 + -18.6t + (10.2 + -6.8t) = 0 Reorder the terms: -31 + 10.2 + -18.6t + -6.8t = 0 Combine like terms: -31 + 10.2 = -20.8 -20.8 + -18.6t + -6.8t = 0 Combine like terms: -18.6t + -6.8t = -25.4t -20.8 + -25.4t = 0 Solving -20.8 + -25.4t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '20.8' to each side of the equation. -20.8 + 20.8 + -25.4t = 0 + 20.8 Combine like terms: -20.8 + 20.8 = 0.0 0.0 + -25.4t = 0 + 20.8 -25.4t = 0 + 20.8 Combine like terms: 0 + 20.8 = 20.8 -25.4t = 20.8 Divide each side by '-25.4'. t = -0.8188976378 Simplifying t = -0.8188976378
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