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Simplifying -6.5(3t + 6) + -2.8(2t + -5) = 0 Reorder the terms: -6.5(6 + 3t) + -2.8(2t + -5) = 0 (6 * -6.5 + 3t * -6.5) + -2.8(2t + -5) = 0 (-39 + -19.5t) + -2.8(2t + -5) = 0 Reorder the terms: -39 + -19.5t + -2.8(-5 + 2t) = 0 -39 + -19.5t + (-5 * -2.8 + 2t * -2.8) = 0 -39 + -19.5t + (14 + -5.6t) = 0 Reorder the terms: -39 + 14 + -19.5t + -5.6t = 0 Combine like terms: -39 + 14 = -25 -25 + -19.5t + -5.6t = 0 Combine like terms: -19.5t + -5.6t = -25.1t -25 + -25.1t = 0 Solving -25 + -25.1t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + -25.1t = 0 + 25 Combine like terms: -25 + 25 = 0 0 + -25.1t = 0 + 25 -25.1t = 0 + 25 Combine like terms: 0 + 25 = 25 -25.1t = 25 Divide each side by '-25.1'. t = -0.9960159363 Simplifying t = -0.9960159363
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