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Simplifying 7t + -31 = 43 + 9t Reorder the terms: -31 + 7t = 43 + 9t Solving -31 + 7t = 43 + 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. -31 + 7t + -9t = 43 + 9t + -9t Combine like terms: 7t + -9t = -2t -31 + -2t = 43 + 9t + -9t Combine like terms: 9t + -9t = 0 -31 + -2t = 43 + 0 -31 + -2t = 43 Add '31' to each side of the equation. -31 + 31 + -2t = 43 + 31 Combine like terms: -31 + 31 = 0 0 + -2t = 43 + 31 -2t = 43 + 31 Combine like terms: 43 + 31 = 74 -2t = 74 Divide each side by '-2'. t = -37 Simplifying t = -37
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