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Simplifying -5.6(4t + 6) + -1.9(3t + -5) = 0 Reorder the terms: -5.6(6 + 4t) + -1.9(3t + -5) = 0 (6 * -5.6 + 4t * -5.6) + -1.9(3t + -5) = 0 (-33.6 + -22.4t) + -1.9(3t + -5) = 0 Reorder the terms: -33.6 + -22.4t + -1.9(-5 + 3t) = 0 -33.6 + -22.4t + (-5 * -1.9 + 3t * -1.9) = 0 -33.6 + -22.4t + (9.5 + -5.7t) = 0 Reorder the terms: -33.6 + 9.5 + -22.4t + -5.7t = 0 Combine like terms: -33.6 + 9.5 = -24.1 -24.1 + -22.4t + -5.7t = 0 Combine like terms: -22.4t + -5.7t = -28.1t -24.1 + -28.1t = 0 Solving -24.1 + -28.1t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '24.1' to each side of the equation. -24.1 + 24.1 + -28.1t = 0 + 24.1 Combine like terms: -24.1 + 24.1 = 0.0 0.0 + -28.1t = 0 + 24.1 -28.1t = 0 + 24.1 Combine like terms: 0 + 24.1 = 24.1 -28.1t = 24.1 Divide each side by '-28.1'. t = -0.8576512456 Simplifying t = -0.8576512456
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