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Simplifying -6.4(2t + 5) + -2.4(3t + -6) = 0 Reorder the terms: -6.4(5 + 2t) + -2.4(3t + -6) = 0 (5 * -6.4 + 2t * -6.4) + -2.4(3t + -6) = 0 (-32 + -12.8t) + -2.4(3t + -6) = 0 Reorder the terms: -32 + -12.8t + -2.4(-6 + 3t) = 0 -32 + -12.8t + (-6 * -2.4 + 3t * -2.4) = 0 -32 + -12.8t + (14.4 + -7.2t) = 0 Reorder the terms: -32 + 14.4 + -12.8t + -7.2t = 0 Combine like terms: -32 + 14.4 = -17.6 -17.6 + -12.8t + -7.2t = 0 Combine like terms: -12.8t + -7.2t = -20t -17.6 + -20t = 0 Solving -17.6 + -20t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '17.6' to each side of the equation. -17.6 + 17.6 + -20t = 0 + 17.6 Combine like terms: -17.6 + 17.6 = 0.0 0.0 + -20t = 0 + 17.6 -20t = 0 + 17.6 Combine like terms: 0 + 17.6 = 17.6 -20t = 17.6 Divide each side by '-20'. t = -0.88 Simplifying t = -0.88
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