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Simplifying 7 + 2t + -4 = 8t + 11 + -2t Reorder the terms: 7 + -4 + 2t = 8t + 11 + -2t Combine like terms: 7 + -4 = 3 3 + 2t = 8t + 11 + -2t Reorder the terms: 3 + 2t = 11 + 8t + -2t Combine like terms: 8t + -2t = 6t 3 + 2t = 11 + 6t Solving 3 + 2t = 11 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. 3 + 2t + -6t = 11 + 6t + -6t Combine like terms: 2t + -6t = -4t 3 + -4t = 11 + 6t + -6t Combine like terms: 6t + -6t = 0 3 + -4t = 11 + 0 3 + -4t = 11 Add '-3' to each side of the equation. 3 + -3 + -4t = 11 + -3 Combine like terms: 3 + -3 = 0 0 + -4t = 11 + -3 -4t = 11 + -3 Combine like terms: 11 + -3 = 8 -4t = 8 Divide each side by '-4'. t = -2 Simplifying t = -2
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