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Simplifying -5.9(2t + 6) + -1.2(3t + -5) = 0 Reorder the terms: -5.9(6 + 2t) + -1.2(3t + -5) = 0 (6 * -5.9 + 2t * -5.9) + -1.2(3t + -5) = 0 (-35.4 + -11.8t) + -1.2(3t + -5) = 0 Reorder the terms: -35.4 + -11.8t + -1.2(-5 + 3t) = 0 -35.4 + -11.8t + (-5 * -1.2 + 3t * -1.2) = 0 -35.4 + -11.8t + (6 + -3.6t) = 0 Reorder the terms: -35.4 + 6 + -11.8t + -3.6t = 0 Combine like terms: -35.4 + 6 = -29.4 -29.4 + -11.8t + -3.6t = 0 Combine like terms: -11.8t + -3.6t = -15.4t -29.4 + -15.4t = 0 Solving -29.4 + -15.4t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '29.4' to each side of the equation. -29.4 + 29.4 + -15.4t = 0 + 29.4 Combine like terms: -29.4 + 29.4 = 0.0 0.0 + -15.4t = 0 + 29.4 -15.4t = 0 + 29.4 Combine like terms: 0 + 29.4 = 29.4 -15.4t = 29.4 Divide each side by '-15.4'. t = -1.909090909 Simplifying t = -1.909090909
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