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Simplifying -6.7(3t + 5) + -1.3(2t + -4) = 0 Reorder the terms: -6.7(5 + 3t) + -1.3(2t + -4) = 0 (5 * -6.7 + 3t * -6.7) + -1.3(2t + -4) = 0 (-33.5 + -20.1t) + -1.3(2t + -4) = 0 Reorder the terms: -33.5 + -20.1t + -1.3(-4 + 2t) = 0 -33.5 + -20.1t + (-4 * -1.3 + 2t * -1.3) = 0 -33.5 + -20.1t + (5.2 + -2.6t) = 0 Reorder the terms: -33.5 + 5.2 + -20.1t + -2.6t = 0 Combine like terms: -33.5 + 5.2 = -28.3 -28.3 + -20.1t + -2.6t = 0 Combine like terms: -20.1t + -2.6t = -22.7t -28.3 + -22.7t = 0 Solving -28.3 + -22.7t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '28.3' to each side of the equation. -28.3 + 28.3 + -22.7t = 0 + 28.3 Combine like terms: -28.3 + 28.3 = 0.0 0.0 + -22.7t = 0 + 28.3 -22.7t = 0 + 28.3 Combine like terms: 0 + 28.3 = 28.3 -22.7t = 28.3 Divide each side by '-22.7'. t = -1.246696035 Simplifying t = -1.246696035
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