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Simplifying -5.7(4t + 6) + -2.6(3t + -5) = 0 Reorder the terms: -5.7(6 + 4t) + -2.6(3t + -5) = 0 (6 * -5.7 + 4t * -5.7) + -2.6(3t + -5) = 0 (-34.2 + -22.8t) + -2.6(3t + -5) = 0 Reorder the terms: -34.2 + -22.8t + -2.6(-5 + 3t) = 0 -34.2 + -22.8t + (-5 * -2.6 + 3t * -2.6) = 0 -34.2 + -22.8t + (13 + -7.8t) = 0 Reorder the terms: -34.2 + 13 + -22.8t + -7.8t = 0 Combine like terms: -34.2 + 13 = -21.2 -21.2 + -22.8t + -7.8t = 0 Combine like terms: -22.8t + -7.8t = -30.6t -21.2 + -30.6t = 0 Solving -21.2 + -30.6t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '21.2' to each side of the equation. -21.2 + 21.2 + -30.6t = 0 + 21.2 Combine like terms: -21.2 + 21.2 = 0.0 0.0 + -30.6t = 0 + 21.2 -30.6t = 0 + 21.2 Combine like terms: 0 + 21.2 = 21.2 -30.6t = 21.2 Divide each side by '-30.6'. t = -0.6928104575 Simplifying t = -0.6928104575
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