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Simplifying 6t + -6 = 9t + -38 Reorder the terms: -6 + 6t = 9t + -38 Reorder the terms: -6 + 6t = -38 + 9t Solving -6 + 6t = -38 + 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. -6 + 6t + -9t = -38 + 9t + -9t Combine like terms: 6t + -9t = -3t -6 + -3t = -38 + 9t + -9t Combine like terms: 9t + -9t = 0 -6 + -3t = -38 + 0 -6 + -3t = -38 Add '6' to each side of the equation. -6 + 6 + -3t = -38 + 6 Combine like terms: -6 + 6 = 0 0 + -3t = -38 + 6 -3t = -38 + 6 Combine like terms: -38 + 6 = -32 -3t = -32 Divide each side by '-3'. t = 10.66666667 Simplifying t = 10.66666667
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