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Simplifying 5.9t + -37 = 3.6t + -25.5 Reorder the terms: -37 + 5.9t = 3.6t + -25.5 Reorder the terms: -37 + 5.9t = -25.5 + 3.6t Solving -37 + 5.9t = -25.5 + 3.6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3.6t' to each side of the equation. -37 + 5.9t + -3.6t = -25.5 + 3.6t + -3.6t Combine like terms: 5.9t + -3.6t = 2.3t -37 + 2.3t = -25.5 + 3.6t + -3.6t Combine like terms: 3.6t + -3.6t = 0.0 -37 + 2.3t = -25.5 + 0.0 -37 + 2.3t = -25.5 Add '37' to each side of the equation. -37 + 37 + 2.3t = -25.5 + 37 Combine like terms: -37 + 37 = 0 0 + 2.3t = -25.5 + 37 2.3t = -25.5 + 37 Combine like terms: -25.5 + 37 = 11.5 2.3t = 11.5 Divide each side by '2.3'. t = 5 Simplifying t = 5
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