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Simplifying 15.6t + -2(9.3t + 15.2) = 3.7t + 2.9t + 4.6t Reorder the terms: 15.6t + -2(15.2 + 9.3t) = 3.7t + 2.9t + 4.6t 15.6t + (15.2 * -2 + 9.3t * -2) = 3.7t + 2.9t + 4.6t 15.6t + (-30.4 + -18.6t) = 3.7t + 2.9t + 4.6t Reorder the terms: -30.4 + 15.6t + -18.6t = 3.7t + 2.9t + 4.6t Combine like terms: 15.6t + -18.6t = -3t -30.4 + -3t = 3.7t + 2.9t + 4.6t Combine like terms: 3.7t + 2.9t = 6.6t -30.4 + -3t = 6.6t + 4.6t Combine like terms: 6.6t + 4.6t = 11.2t -30.4 + -3t = 11.2t Solving -30.4 + -3t = 11.2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-11.2t' to each side of the equation. -30.4 + -3t + -11.2t = 11.2t + -11.2t Combine like terms: -3t + -11.2t = -14.2t -30.4 + -14.2t = 11.2t + -11.2t Combine like terms: 11.2t + -11.2t = 0.0 -30.4 + -14.2t = 0.0 Add '30.4' to each side of the equation. -30.4 + 30.4 + -14.2t = 0.0 + 30.4 Combine like terms: -30.4 + 30.4 = 0.0 0.0 + -14.2t = 0.0 + 30.4 -14.2t = 0.0 + 30.4 Combine like terms: 0.0 + 30.4 = 30.4 -14.2t = 30.4 Divide each side by '-14.2'. t = -2.14084507 Simplifying t = -2.14084507
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