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Simplifying -5.4(4t + 6) + -2.3(2t + -5) = 0 Reorder the terms: -5.4(6 + 4t) + -2.3(2t + -5) = 0 (6 * -5.4 + 4t * -5.4) + -2.3(2t + -5) = 0 (-32.4 + -21.6t) + -2.3(2t + -5) = 0 Reorder the terms: -32.4 + -21.6t + -2.3(-5 + 2t) = 0 -32.4 + -21.6t + (-5 * -2.3 + 2t * -2.3) = 0 -32.4 + -21.6t + (11.5 + -4.6t) = 0 Reorder the terms: -32.4 + 11.5 + -21.6t + -4.6t = 0 Combine like terms: -32.4 + 11.5 = -20.9 -20.9 + -21.6t + -4.6t = 0 Combine like terms: -21.6t + -4.6t = -26.2t -20.9 + -26.2t = 0 Solving -20.9 + -26.2t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '20.9' to each side of the equation. -20.9 + 20.9 + -26.2t = 0 + 20.9 Combine like terms: -20.9 + 20.9 = 0.0 0.0 + -26.2t = 0 + 20.9 -26.2t = 0 + 20.9 Combine like terms: 0 + 20.9 = 20.9 -26.2t = 20.9 Divide each side by '-26.2'. t = -0.7977099237 Simplifying t = -0.7977099237
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