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Simplifying -5.4(3t + 6) + -1.7(2t + -5) = 0 Reorder the terms: -5.4(6 + 3t) + -1.7(2t + -5) = 0 (6 * -5.4 + 3t * -5.4) + -1.7(2t + -5) = 0 (-32.4 + -16.2t) + -1.7(2t + -5) = 0 Reorder the terms: -32.4 + -16.2t + -1.7(-5 + 2t) = 0 -32.4 + -16.2t + (-5 * -1.7 + 2t * -1.7) = 0 -32.4 + -16.2t + (8.5 + -3.4t) = 0 Reorder the terms: -32.4 + 8.5 + -16.2t + -3.4t = 0 Combine like terms: -32.4 + 8.5 = -23.9 -23.9 + -16.2t + -3.4t = 0 Combine like terms: -16.2t + -3.4t = -19.6t -23.9 + -19.6t = 0 Solving -23.9 + -19.6t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '23.9' to each side of the equation. -23.9 + 23.9 + -19.6t = 0 + 23.9 Combine like terms: -23.9 + 23.9 = 0.0 0.0 + -19.6t = 0 + 23.9 -19.6t = 0 + 23.9 Combine like terms: 0 + 23.9 = 23.9 -19.6t = 23.9 Divide each side by '-19.6'. t = -1.219387755 Simplifying t = -1.219387755
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