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Simplifying t + -5 = -7 + 3t Reorder the terms: -5 + t = -7 + 3t Solving -5 + 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. -5 + t + -3t = -7 + 3t + -3t Combine like terms: t + -3t = -2t -5 + -2t = -7 + 3t + -3t Combine like terms: 3t + -3t = 0 -5 + -2t = -7 + 0 -5 + -2t = -7 Add '5' to each side of the equation. -5 + 5 + -2t = -7 + 5 Combine like terms: -5 + 5 = 0 0 + -2t = -7 + 5 -2t = -7 + 5 Combine like terms: -7 + 5 = -2 -2t = -2 Divide each side by '-2'. t = 1 Simplifying t = 1
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