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Simplifying -16.4t + -3.44 + 14.1t = -3.7t + -19.96 Reorder the terms: -3.44 + -16.4t + 14.1t = -3.7t + -19.96 Combine like terms: -16.4t + 14.1t = -2.3t -3.44 + -2.3t = -3.7t + -19.96 Reorder the terms: -3.44 + -2.3t = -19.96 + -3.7t Solving -3.44 + -2.3t = -19.96 + -3.7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3.7t' to each side of the equation. -3.44 + -2.3t + 3.7t = -19.96 + -3.7t + 3.7t Combine like terms: -2.3t + 3.7t = 1.4t -3.44 + 1.4t = -19.96 + -3.7t + 3.7t Combine like terms: -3.7t + 3.7t = 0.0 -3.44 + 1.4t = -19.96 + 0.0 -3.44 + 1.4t = -19.96 Add '3.44' to each side of the equation. -3.44 + 3.44 + 1.4t = -19.96 + 3.44 Combine like terms: -3.44 + 3.44 = 0.00 0.00 + 1.4t = -19.96 + 3.44 1.4t = -19.96 + 3.44 Combine like terms: -19.96 + 3.44 = -16.52 1.4t = -16.52 Divide each side by '1.4'. t = -11.8 Simplifying t = -11.8
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