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Simplifying -18.63 + 3.4t = -1.23 + 3.3t + -18.77 Reorder the terms: -18.63 + 3.4t = -1.23 + -18.77 + 3.3t Combine like terms: -1.23 + -18.77 = -20 -18.63 + 3.4t = -20 + 3.3t Solving -18.63 + 3.4t = -20 + 3.3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3.3t' to each side of the equation. -18.63 + 3.4t + -3.3t = -20 + 3.3t + -3.3t Combine like terms: 3.4t + -3.3t = 0.1t -18.63 + 0.1t = -20 + 3.3t + -3.3t Combine like terms: 3.3t + -3.3t = 0.0 -18.63 + 0.1t = -20 + 0.0 -18.63 + 0.1t = -20 Add '18.63' to each side of the equation. -18.63 + 18.63 + 0.1t = -20 + 18.63 Combine like terms: -18.63 + 18.63 = 0.00 0.00 + 0.1t = -20 + 18.63 0.1t = -20 + 18.63 Combine like terms: -20 + 18.63 = -1.37 0.1t = -1.37 Divide each side by '0.1'. t = -13.7 Simplifying t = -13.7
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