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Simplifying 7 + 4t + -4 = 7t + 10 + -2t Reorder the terms: 7 + -4 + 4t = 7t + 10 + -2t Combine like terms: 7 + -4 = 3 3 + 4t = 7t + 10 + -2t Reorder the terms: 3 + 4t = 10 + 7t + -2t Combine like terms: 7t + -2t = 5t 3 + 4t = 10 + 5t Solving 3 + 4t = 10 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. 3 + 4t + -5t = 10 + 5t + -5t Combine like terms: 4t + -5t = -1t 3 + -1t = 10 + 5t + -5t Combine like terms: 5t + -5t = 0 3 + -1t = 10 + 0 3 + -1t = 10 Add '-3' to each side of the equation. 3 + -3 + -1t = 10 + -3 Combine like terms: 3 + -3 = 0 0 + -1t = 10 + -3 -1t = 10 + -3 Combine like terms: 10 + -3 = 7 -1t = 7 Divide each side by '-1'. t = -7 Simplifying t = -7
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