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Simplifying -5.4(2t + 4) + -2.3(4t + -6) = 0 Reorder the terms: -5.4(4 + 2t) + -2.3(4t + -6) = 0 (4 * -5.4 + 2t * -5.4) + -2.3(4t + -6) = 0 (-21.6 + -10.8t) + -2.3(4t + -6) = 0 Reorder the terms: -21.6 + -10.8t + -2.3(-6 + 4t) = 0 -21.6 + -10.8t + (-6 * -2.3 + 4t * -2.3) = 0 -21.6 + -10.8t + (13.8 + -9.2t) = 0 Reorder the terms: -21.6 + 13.8 + -10.8t + -9.2t = 0 Combine like terms: -21.6 + 13.8 = -7.8 -7.8 + -10.8t + -9.2t = 0 Combine like terms: -10.8t + -9.2t = -20t -7.8 + -20t = 0 Solving -7.8 + -20t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '7.8' to each side of the equation. -7.8 + 7.8 + -20t = 0 + 7.8 Combine like terms: -7.8 + 7.8 = 0.0 0.0 + -20t = 0 + 7.8 -20t = 0 + 7.8 Combine like terms: 0 + 7.8 = 7.8 -20t = 7.8 Divide each side by '-20'. t = -0.39 Simplifying t = -0.39
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