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Simplifying t + 46 + 31 = 6t + -38 Reorder the terms: 46 + 31 + t = 6t + -38 Combine like terms: 46 + 31 = 77 77 + t = 6t + -38 Reorder the terms: 77 + t = -38 + 6t Solving 77 + t = -38 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. 77 + t + -6t = -38 + 6t + -6t Combine like terms: t + -6t = -5t 77 + -5t = -38 + 6t + -6t Combine like terms: 6t + -6t = 0 77 + -5t = -38 + 0 77 + -5t = -38 Add '-77' to each side of the equation. 77 + -77 + -5t = -38 + -77 Combine like terms: 77 + -77 = 0 0 + -5t = -38 + -77 -5t = -38 + -77 Combine like terms: -38 + -77 = -115 -5t = -115 Divide each side by '-5'. t = 23 Simplifying t = 23
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