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Simplifying -5.4(4t + -6) + -1.6(3t + -5) = 0 Reorder the terms: -5.4(-6 + 4t) + -1.6(3t + -5) = 0 (-6 * -5.4 + 4t * -5.4) + -1.6(3t + -5) = 0 (32.4 + -21.6t) + -1.6(3t + -5) = 0 Reorder the terms: 32.4 + -21.6t + -1.6(-5 + 3t) = 0 32.4 + -21.6t + (-5 * -1.6 + 3t * -1.6) = 0 32.4 + -21.6t + (8 + -4.8t) = 0 Reorder the terms: 32.4 + 8 + -21.6t + -4.8t = 0 Combine like terms: 32.4 + 8 = 40.4 40.4 + -21.6t + -4.8t = 0 Combine like terms: -21.6t + -4.8t = -26.4t 40.4 + -26.4t = 0 Solving 40.4 + -26.4t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-40.4' to each side of the equation. 40.4 + -40.4 + -26.4t = 0 + -40.4 Combine like terms: 40.4 + -40.4 = 0.0 0.0 + -26.4t = 0 + -40.4 -26.4t = 0 + -40.4 Combine like terms: 0 + -40.4 = -40.4 -26.4t = -40.4 Divide each side by '-26.4'. t = 1.53030303 Simplifying t = 1.53030303
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