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Simplifying -6.8(2t + 5) + -2.8(4t + -6) = 0 Reorder the terms: -6.8(5 + 2t) + -2.8(4t + -6) = 0 (5 * -6.8 + 2t * -6.8) + -2.8(4t + -6) = 0 (-34 + -13.6t) + -2.8(4t + -6) = 0 Reorder the terms: -34 + -13.6t + -2.8(-6 + 4t) = 0 -34 + -13.6t + (-6 * -2.8 + 4t * -2.8) = 0 -34 + -13.6t + (16.8 + -11.2t) = 0 Reorder the terms: -34 + 16.8 + -13.6t + -11.2t = 0 Combine like terms: -34 + 16.8 = -17.2 -17.2 + -13.6t + -11.2t = 0 Combine like terms: -13.6t + -11.2t = -24.8t -17.2 + -24.8t = 0 Solving -17.2 + -24.8t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '17.2' to each side of the equation. -17.2 + 17.2 + -24.8t = 0 + 17.2 Combine like terms: -17.2 + 17.2 = 0.0 0.0 + -24.8t = 0 + 17.2 -24.8t = 0 + 17.2 Combine like terms: 0 + 17.2 = 17.2 -24.8t = 17.2 Divide each side by '-24.8'. t = -0.6935483871 Simplifying t = -0.6935483871
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