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