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Simplifying 6t + 1 = t + 6 + t + -4 Reorder the terms: 1 + 6t = t + 6 + t + -4 Reorder the terms: 1 + 6t = 6 + -4 + t + t Combine like terms: 6 + -4 = 2 1 + 6t = 2 + t + t Combine like terms: t + t = 2t 1 + 6t = 2 + 2t Solving 1 + 6t = 2 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. 1 + 6t + -2t = 2 + 2t + -2t Combine like terms: 6t + -2t = 4t 1 + 4t = 2 + 2t + -2t Combine like terms: 2t + -2t = 0 1 + 4t = 2 + 0 1 + 4t = 2 Add '-1' to each side of the equation. 1 + -1 + 4t = 2 + -1 Combine like terms: 1 + -1 = 0 0 + 4t = 2 + -1 4t = 2 + -1 Combine like terms: 2 + -1 = 1 4t = 1 Divide each side by '4'. t = 0.25 Simplifying t = 0.25
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