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Simplifying -5.3(4t + 6) + -2.4(2t + -5) = 0 Reorder the terms: -5.3(6 + 4t) + -2.4(2t + -5) = 0 (6 * -5.3 + 4t * -5.3) + -2.4(2t + -5) = 0 (-31.8 + -21.2t) + -2.4(2t + -5) = 0 Reorder the terms: -31.8 + -21.2t + -2.4(-5 + 2t) = 0 -31.8 + -21.2t + (-5 * -2.4 + 2t * -2.4) = 0 -31.8 + -21.2t + (12 + -4.8t) = 0 Reorder the terms: -31.8 + 12 + -21.2t + -4.8t = 0 Combine like terms: -31.8 + 12 = -19.8 -19.8 + -21.2t + -4.8t = 0 Combine like terms: -21.2t + -4.8t = -26t -19.8 + -26t = 0 Solving -19.8 + -26t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '19.8' to each side of the equation. -19.8 + 19.8 + -26t = 0 + 19.8 Combine like terms: -19.8 + 19.8 = 0.0 0.0 + -26t = 0 + 19.8 -26t = 0 + 19.8 Combine like terms: 0 + 19.8 = 19.8 -26t = 19.8 Divide each side by '-26'. t = -0.7615384615 Simplifying t = -0.7615384615
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