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Simplifying -5.2(2t + 4) + -2.2(4t + -6) = 0 Reorder the terms: -5.2(4 + 2t) + -2.2(4t + -6) = 0 (4 * -5.2 + 2t * -5.2) + -2.2(4t + -6) = 0 (-20.8 + -10.4t) + -2.2(4t + -6) = 0 Reorder the terms: -20.8 + -10.4t + -2.2(-6 + 4t) = 0 -20.8 + -10.4t + (-6 * -2.2 + 4t * -2.2) = 0 -20.8 + -10.4t + (13.2 + -8.8t) = 0 Reorder the terms: -20.8 + 13.2 + -10.4t + -8.8t = 0 Combine like terms: -20.8 + 13.2 = -7.6 -7.6 + -10.4t + -8.8t = 0 Combine like terms: -10.4t + -8.8t = -19.2t -7.6 + -19.2t = 0 Solving -7.6 + -19.2t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '7.6' to each side of the equation. -7.6 + 7.6 + -19.2t = 0 + 7.6 Combine like terms: -7.6 + 7.6 = 0.0 0.0 + -19.2t = 0 + 7.6 -19.2t = 0 + 7.6 Combine like terms: 0 + 7.6 = 7.6 -19.2t = 7.6 Divide each side by '-19.2'. t = -0.3958333333 Simplifying t = -0.3958333333
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