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Simplifying -4.2t + -18.66 + 3.5t = 19.44 + 2.3t Reorder the terms: -18.66 + -4.2t + 3.5t = 19.44 + 2.3t Combine like terms: -4.2t + 3.5t = -0.7t -18.66 + -0.7t = 19.44 + 2.3t Solving -18.66 + -0.7t = 19.44 + 2.3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2.3t' to each side of the equation. -18.66 + -0.7t + -2.3t = 19.44 + 2.3t + -2.3t Combine like terms: -0.7t + -2.3t = -3t -18.66 + -3t = 19.44 + 2.3t + -2.3t Combine like terms: 2.3t + -2.3t = 0.0 -18.66 + -3t = 19.44 + 0.0 -18.66 + -3t = 19.44 Add '18.66' to each side of the equation. -18.66 + 18.66 + -3t = 19.44 + 18.66 Combine like terms: -18.66 + 18.66 = 0.00 0.00 + -3t = 19.44 + 18.66 -3t = 19.44 + 18.66 Combine like terms: 19.44 + 18.66 = 38.1 -3t = 38.1 Divide each side by '-3'. t = -12.7 Simplifying t = -12.7
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