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Simplifying -6.2(4t + 6) + -2.8(2t + -5) = 0 Reorder the terms: -6.2(6 + 4t) + -2.8(2t + -5) = 0 (6 * -6.2 + 4t * -6.2) + -2.8(2t + -5) = 0 (-37.2 + -24.8t) + -2.8(2t + -5) = 0 Reorder the terms: -37.2 + -24.8t + -2.8(-5 + 2t) = 0 -37.2 + -24.8t + (-5 * -2.8 + 2t * -2.8) = 0 -37.2 + -24.8t + (14 + -5.6t) = 0 Reorder the terms: -37.2 + 14 + -24.8t + -5.6t = 0 Combine like terms: -37.2 + 14 = -23.2 -23.2 + -24.8t + -5.6t = 0 Combine like terms: -24.8t + -5.6t = -30.4t -23.2 + -30.4t = 0 Solving -23.2 + -30.4t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '23.2' to each side of the equation. -23.2 + 23.2 + -30.4t = 0 + 23.2 Combine like terms: -23.2 + 23.2 = 0.0 0.0 + -30.4t = 0 + 23.2 -30.4t = 0 + 23.2 Combine like terms: 0 + 23.2 = 23.2 -30.4t = 23.2 Divide each side by '-30.4'. t = -0.7631578947 Simplifying t = -0.7631578947
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