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Simplifying 4t + -5 + 10 = 5t + 2(4 + -1t) + 1 Reorder the terms: -5 + 10 + 4t = 5t + 2(4 + -1t) + 1 Combine like terms: -5 + 10 = 5 5 + 4t = 5t + 2(4 + -1t) + 1 5 + 4t = 5t + (4 * 2 + -1t * 2) + 1 5 + 4t = 5t + (8 + -2t) + 1 Reorder the terms: 5 + 4t = 8 + 1 + 5t + -2t Combine like terms: 8 + 1 = 9 5 + 4t = 9 + 5t + -2t Combine like terms: 5t + -2t = 3t 5 + 4t = 9 + 3t Solving 5 + 4t = 9 + 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 = 9 + 3t + -3t Combine like terms: 4t + -3t = 1t 5 + 1t = 9 + 3t + -3t Combine like terms: 3t + -3t = 0 5 + 1t = 9 + 0 5 + 1t = 9 Add '-5' to each side of the equation. 5 + -5 + 1t = 9 + -5 Combine like terms: 5 + -5 = 0 0 + 1t = 9 + -5 1t = 9 + -5 Combine like terms: 9 + -5 = 4 1t = 4 Divide each side by '1'. t = 4 Simplifying t = 4
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