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Simplifying 9t + -8 = 3t + 40 Reorder the terms: -8 + 9t = 3t + 40 Reorder the terms: -8 + 9t = 40 + 3t Solving -8 + 9t = 40 + 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. -8 + 9t + -3t = 40 + 3t + -3t Combine like terms: 9t + -3t = 6t -8 + 6t = 40 + 3t + -3t Combine like terms: 3t + -3t = 0 -8 + 6t = 40 + 0 -8 + 6t = 40 Add '8' to each side of the equation. -8 + 8 + 6t = 40 + 8 Combine like terms: -8 + 8 = 0 0 + 6t = 40 + 8 6t = 40 + 8 Combine like terms: 40 + 8 = 48 6t = 48 Divide each side by '6'. t = 8 Simplifying t = 8
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