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Simplifying -6.2(2t + 4) + -1.6(4t + -6) = 0 Reorder the terms: -6.2(4 + 2t) + -1.6(4t + -6) = 0 (4 * -6.2 + 2t * -6.2) + -1.6(4t + -6) = 0 (-24.8 + -12.4t) + -1.6(4t + -6) = 0 Reorder the terms: -24.8 + -12.4t + -1.6(-6 + 4t) = 0 -24.8 + -12.4t + (-6 * -1.6 + 4t * -1.6) = 0 -24.8 + -12.4t + (9.6 + -6.4t) = 0 Reorder the terms: -24.8 + 9.6 + -12.4t + -6.4t = 0 Combine like terms: -24.8 + 9.6 = -15.2 -15.2 + -12.4t + -6.4t = 0 Combine like terms: -12.4t + -6.4t = -18.8t -15.2 + -18.8t = 0 Solving -15.2 + -18.8t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '15.2' to each side of the equation. -15.2 + 15.2 + -18.8t = 0 + 15.2 Combine like terms: -15.2 + 15.2 = 0.0 0.0 + -18.8t = 0 + 15.2 -18.8t = 0 + 15.2 Combine like terms: 0 + 15.2 = 15.2 -18.8t = 15.2 Divide each side by '-18.8'. t = -0.8085106383 Simplifying t = -0.8085106383
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