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Simplifying 2t + -0.5 = 5.3t + -19.64 Reorder the terms: -0.5 + 2t = 5.3t + -19.64 Reorder the terms: -0.5 + 2t = -19.64 + 5.3t Solving -0.5 + 2t = -19.64 + 5.3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5.3t' to each side of the equation. -0.5 + 2t + -5.3t = -19.64 + 5.3t + -5.3t Combine like terms: 2t + -5.3t = -3.3t -0.5 + -3.3t = -19.64 + 5.3t + -5.3t Combine like terms: 5.3t + -5.3t = 0.0 -0.5 + -3.3t = -19.64 + 0.0 -0.5 + -3.3t = -19.64 Add '0.5' to each side of the equation. -0.5 + 0.5 + -3.3t = -19.64 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + -3.3t = -19.64 + 0.5 -3.3t = -19.64 + 0.5 Combine like terms: -19.64 + 0.5 = -19.14 -3.3t = -19.14 Divide each side by '-3.3'. t = 5.8 Simplifying t = 5.8
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