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Simplifying t + -1 = -3t + 7 Reorder the terms: -1 + t = -3t + 7 Reorder the terms: -1 + t = 7 + -3t Solving -1 + t = 7 + -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. -1 + t + 3t = 7 + -3t + 3t Combine like terms: t + 3t = 4t -1 + 4t = 7 + -3t + 3t Combine like terms: -3t + 3t = 0 -1 + 4t = 7 + 0 -1 + 4t = 7 Add '1' to each side of the equation. -1 + 1 + 4t = 7 + 1 Combine like terms: -1 + 1 = 0 0 + 4t = 7 + 1 4t = 7 + 1 Combine like terms: 7 + 1 = 8 4t = 8 Divide each side by '4'. t = 2 Simplifying t = 2
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