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Simplifying -10.38 + 14.1t = 8.2t + 17.62 + 7.9t Reorder the terms: -10.38 + 14.1t = 17.62 + 8.2t + 7.9t Combine like terms: 8.2t + 7.9t = 16.1t -10.38 + 14.1t = 17.62 + 16.1t Solving -10.38 + 14.1t = 17.62 + 16.1t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-16.1t' to each side of the equation. -10.38 + 14.1t + -16.1t = 17.62 + 16.1t + -16.1t Combine like terms: 14.1t + -16.1t = -2t -10.38 + -2t = 17.62 + 16.1t + -16.1t Combine like terms: 16.1t + -16.1t = 0.0 -10.38 + -2t = 17.62 + 0.0 -10.38 + -2t = 17.62 Add '10.38' to each side of the equation. -10.38 + 10.38 + -2t = 17.62 + 10.38 Combine like terms: -10.38 + 10.38 = 0.00 0.00 + -2t = 17.62 + 10.38 -2t = 17.62 + 10.38 Combine like terms: 17.62 + 10.38 = 28 -2t = 28 Divide each side by '-2'. t = -14 Simplifying t = -14
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