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Simplifying 4t + -1t + -6 = 2t + -7 Reorder the terms: -6 + 4t + -1t = 2t + -7 Combine like terms: 4t + -1t = 3t -6 + 3t = 2t + -7 Reorder the terms: -6 + 3t = -7 + 2t Solving -6 + 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. -6 + 3t + -2t = -7 + 2t + -2t Combine like terms: 3t + -2t = 1t -6 + 1t = -7 + 2t + -2t Combine like terms: 2t + -2t = 0 -6 + 1t = -7 + 0 -6 + 1t = -7 Add '6' to each side of the equation. -6 + 6 + 1t = -7 + 6 Combine like terms: -6 + 6 = 0 0 + 1t = -7 + 6 1t = -7 + 6 Combine like terms: -7 + 6 = -1 1t = -1 Divide each side by '1'. t = -1 Simplifying t = -1
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