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Simplifying 6t + -37 = -3t + 8 Reorder the terms: -37 + 6t = -3t + 8 Reorder the terms: -37 + 6t = 8 + -3t Solving -37 + 6t = 8 + -3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3t' to each side of the equation. -37 + 6t + 3t = 8 + -3t + 3t Combine like terms: 6t + 3t = 9t -37 + 9t = 8 + -3t + 3t Combine like terms: -3t + 3t = 0 -37 + 9t = 8 + 0 -37 + 9t = 8 Add '37' to each side of the equation. -37 + 37 + 9t = 8 + 37 Combine like terms: -37 + 37 = 0 0 + 9t = 8 + 37 9t = 8 + 37 Combine like terms: 8 + 37 = 45 9t = 45 Divide each side by '9'. t = 5 Simplifying t = 5
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