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Simplifying -5.1(2t + 5) + -1.1(4t + -6) = 0 Reorder the terms: -5.1(5 + 2t) + -1.1(4t + -6) = 0 (5 * -5.1 + 2t * -5.1) + -1.1(4t + -6) = 0 (-25.5 + -10.2t) + -1.1(4t + -6) = 0 Reorder the terms: -25.5 + -10.2t + -1.1(-6 + 4t) = 0 -25.5 + -10.2t + (-6 * -1.1 + 4t * -1.1) = 0 -25.5 + -10.2t + (6.6 + -4.4t) = 0 Reorder the terms: -25.5 + 6.6 + -10.2t + -4.4t = 0 Combine like terms: -25.5 + 6.6 = -18.9 -18.9 + -10.2t + -4.4t = 0 Combine like terms: -10.2t + -4.4t = -14.6t -18.9 + -14.6t = 0 Solving -18.9 + -14.6t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '18.9' to each side of the equation. -18.9 + 18.9 + -14.6t = 0 + 18.9 Combine like terms: -18.9 + 18.9 = 0.0 0.0 + -14.6t = 0 + 18.9 -14.6t = 0 + 18.9 Combine like terms: 0 + 18.9 = 18.9 -14.6t = 18.9 Divide each side by '-14.6'. t = -1.294520548 Simplifying t = -1.294520548
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