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Simplifying t + 7 + 2t + -13 = t + 43 Reorder the terms: 7 + -13 + t + 2t = t + 43 Combine like terms: 7 + -13 = -6 -6 + t + 2t = t + 43 Combine like terms: t + 2t = 3t -6 + 3t = t + 43 Reorder the terms: -6 + 3t = 43 + t Solving -6 + 3t = 43 + t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. -6 + 3t + -1t = 43 + t + -1t Combine like terms: 3t + -1t = 2t -6 + 2t = 43 + t + -1t Combine like terms: t + -1t = 0 -6 + 2t = 43 + 0 -6 + 2t = 43 Add '6' to each side of the equation. -6 + 6 + 2t = 43 + 6 Combine like terms: -6 + 6 = 0 0 + 2t = 43 + 6 2t = 43 + 6 Combine like terms: 43 + 6 = 49 2t = 49 Divide each side by '2'. t = 24.5 Simplifying t = 24.5
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