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Simplifying 6t + -13 = 37 + 9t Reorder the terms: -13 + 6t = 37 + 9t Solving -13 + 6t = 37 + 9t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-9t' to each side of the equation. -13 + 6t + -9t = 37 + 9t + -9t Combine like terms: 6t + -9t = -3t -13 + -3t = 37 + 9t + -9t Combine like terms: 9t + -9t = 0 -13 + -3t = 37 + 0 -13 + -3t = 37 Add '13' to each side of the equation. -13 + 13 + -3t = 37 + 13 Combine like terms: -13 + 13 = 0 0 + -3t = 37 + 13 -3t = 37 + 13 Combine like terms: 37 + 13 = 50 -3t = 50 Divide each side by '-3'. t = -16.66666667 Simplifying t = -16.66666667
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