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Simplifying 4t + -1t + -7 = 2t + -5 Reorder the terms: -7 + 4t + -1t = 2t + -5 Combine like terms: 4t + -1t = 3t -7 + 3t = 2t + -5 Reorder the terms: -7 + 3t = -5 + 2t Solving -7 + 3t = -5 + 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. -7 + 3t + -2t = -5 + 2t + -2t Combine like terms: 3t + -2t = 1t -7 + 1t = -5 + 2t + -2t Combine like terms: 2t + -2t = 0 -7 + 1t = -5 + 0 -7 + 1t = -5 Add '7' to each side of the equation. -7 + 7 + 1t = -5 + 7 Combine like terms: -7 + 7 = 0 0 + 1t = -5 + 7 1t = -5 + 7 Combine like terms: -5 + 7 = 2 1t = 2 Divide each side by '1'. t = 2 Simplifying t = 2
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