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Simplifying 4t + 5 = 7t + -2(t + -4) + -2t Reorder the terms: 5 + 4t = 7t + -2(t + -4) + -2t Reorder the terms: 5 + 4t = 7t + -2(-4 + t) + -2t 5 + 4t = 7t + (-4 * -2 + t * -2) + -2t 5 + 4t = 7t + (8 + -2t) + -2t Reorder the terms: 5 + 4t = 8 + 7t + -2t + -2t Combine like terms: 7t + -2t = 5t 5 + 4t = 8 + 5t + -2t Combine like terms: 5t + -2t = 3t 5 + 4t = 8 + 3t Solving 5 + 4t = 8 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. 5 + 4t + -3t = 8 + 3t + -3t Combine like terms: 4t + -3t = 1t 5 + 1t = 8 + 3t + -3t Combine like terms: 3t + -3t = 0 5 + 1t = 8 + 0 5 + 1t = 8 Add '-5' to each side of the equation. 5 + -5 + 1t = 8 + -5 Combine like terms: 5 + -5 = 0 0 + 1t = 8 + -5 1t = 8 + -5 Combine like terms: 8 + -5 = 3 1t = 3 Divide each side by '1'. t = 3 Simplifying t = 3
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