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Simplifying -5.3(3t + 6) + -2.1(2t + -5) = 0 Reorder the terms: -5.3(6 + 3t) + -2.1(2t + -5) = 0 (6 * -5.3 + 3t * -5.3) + -2.1(2t + -5) = 0 (-31.8 + -15.9t) + -2.1(2t + -5) = 0 Reorder the terms: -31.8 + -15.9t + -2.1(-5 + 2t) = 0 -31.8 + -15.9t + (-5 * -2.1 + 2t * -2.1) = 0 -31.8 + -15.9t + (10.5 + -4.2t) = 0 Reorder the terms: -31.8 + 10.5 + -15.9t + -4.2t = 0 Combine like terms: -31.8 + 10.5 = -21.3 -21.3 + -15.9t + -4.2t = 0 Combine like terms: -15.9t + -4.2t = -20.1t -21.3 + -20.1t = 0 Solving -21.3 + -20.1t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '21.3' to each side of the equation. -21.3 + 21.3 + -20.1t = 0 + 21.3 Combine like terms: -21.3 + 21.3 = 0.0 0.0 + -20.1t = 0 + 21.3 -20.1t = 0 + 21.3 Combine like terms: 0 + 21.3 = 21.3 -20.1t = 21.3 Divide each side by '-20.1'. t = -1.059701493 Simplifying t = -1.059701493
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