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Simplifying 15.6t + -2(9.3t + 15.2) = 3.7t + 2.9t + 4.16t Reorder the terms: 15.6t + -2(15.2 + 9.3t) = 3.7t + 2.9t + 4.16t 15.6t + (15.2 * -2 + 9.3t * -2) = 3.7t + 2.9t + 4.16t 15.6t + (-30.4 + -18.6t) = 3.7t + 2.9t + 4.16t Reorder the terms: -30.4 + 15.6t + -18.6t = 3.7t + 2.9t + 4.16t Combine like terms: 15.6t + -18.6t = -3t -30.4 + -3t = 3.7t + 2.9t + 4.16t Combine like terms: 3.7t + 2.9t = 6.6t -30.4 + -3t = 6.6t + 4.16t Combine like terms: 6.6t + 4.16t = 10.76t -30.4 + -3t = 10.76t Solving -30.4 + -3t = 10.76t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-10.76t' to each side of the equation. -30.4 + -3t + -10.76t = 10.76t + -10.76t Combine like terms: -3t + -10.76t = -13.76t -30.4 + -13.76t = 10.76t + -10.76t Combine like terms: 10.76t + -10.76t = 0.00 -30.4 + -13.76t = 0.00 Add '30.4' to each side of the equation. -30.4 + 30.4 + -13.76t = 0.00 + 30.4 Combine like terms: -30.4 + 30.4 = 0.0 0.0 + -13.76t = 0.00 + 30.4 -13.76t = 0.00 + 30.4 Combine like terms: 0.00 + 30.4 = 30.4 -13.76t = 30.4 Divide each side by '-13.76'. t = -2.209302326 Simplifying t = -2.209302326
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