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Simplifying -6.9(4t + 6) + -2.9(3t + -5) = 0 Reorder the terms: -6.9(6 + 4t) + -2.9(3t + -5) = 0 (6 * -6.9 + 4t * -6.9) + -2.9(3t + -5) = 0 (-41.4 + -27.6t) + -2.9(3t + -5) = 0 Reorder the terms: -41.4 + -27.6t + -2.9(-5 + 3t) = 0 -41.4 + -27.6t + (-5 * -2.9 + 3t * -2.9) = 0 -41.4 + -27.6t + (14.5 + -8.7t) = 0 Reorder the terms: -41.4 + 14.5 + -27.6t + -8.7t = 0 Combine like terms: -41.4 + 14.5 = -26.9 -26.9 + -27.6t + -8.7t = 0 Combine like terms: -27.6t + -8.7t = -36.3t -26.9 + -36.3t = 0 Solving -26.9 + -36.3t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '26.9' to each side of the equation. -26.9 + 26.9 + -36.3t = 0 + 26.9 Combine like terms: -26.9 + 26.9 = 0.0 0.0 + -36.3t = 0 + 26.9 -36.3t = 0 + 26.9 Combine like terms: 0 + 26.9 = 26.9 -36.3t = 26.9 Divide each side by '-36.3'. t = -0.741046832 Simplifying t = -0.741046832
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