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Simplifying -12.1t + 11.3 + 18.01 = 16.29 + -15.1t Reorder the terms: 11.3 + 18.01 + -12.1t = 16.29 + -15.1t Combine like terms: 11.3 + 18.01 = 29.31 29.31 + -12.1t = 16.29 + -15.1t Solving 29.31 + -12.1t = 16.29 + -15.1t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '15.1t' to each side of the equation. 29.31 + -12.1t + 15.1t = 16.29 + -15.1t + 15.1t Combine like terms: -12.1t + 15.1t = 3t 29.31 + 3t = 16.29 + -15.1t + 15.1t Combine like terms: -15.1t + 15.1t = 0.0 29.31 + 3t = 16.29 + 0.0 29.31 + 3t = 16.29 Add '-29.31' to each side of the equation. 29.31 + -29.31 + 3t = 16.29 + -29.31 Combine like terms: 29.31 + -29.31 = 0.00 0.00 + 3t = 16.29 + -29.31 3t = 16.29 + -29.31 Combine like terms: 16.29 + -29.31 = -13.02 3t = -13.02 Divide each side by '3'. t = -4.34 Simplifying t = -4.34
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