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Simplifying -5.6(2t + 4) + -1.8(4t + -6) = 0 Reorder the terms: -5.6(4 + 2t) + -1.8(4t + -6) = 0 (4 * -5.6 + 2t * -5.6) + -1.8(4t + -6) = 0 (-22.4 + -11.2t) + -1.8(4t + -6) = 0 Reorder the terms: -22.4 + -11.2t + -1.8(-6 + 4t) = 0 -22.4 + -11.2t + (-6 * -1.8 + 4t * -1.8) = 0 -22.4 + -11.2t + (10.8 + -7.2t) = 0 Reorder the terms: -22.4 + 10.8 + -11.2t + -7.2t = 0 Combine like terms: -22.4 + 10.8 = -11.6 -11.6 + -11.2t + -7.2t = 0 Combine like terms: -11.2t + -7.2t = -18.4t -11.6 + -18.4t = 0 Solving -11.6 + -18.4t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '11.6' to each side of the equation. -11.6 + 11.6 + -18.4t = 0 + 11.6 Combine like terms: -11.6 + 11.6 = 0.0 0.0 + -18.4t = 0 + 11.6 -18.4t = 0 + 11.6 Combine like terms: 0 + 11.6 = 11.6 -18.4t = 11.6 Divide each side by '-18.4'. t = -0.6304347826 Simplifying t = -0.6304347826
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