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Simplifying 4(2t + -1) + -1t = 3t + 8 Reorder the terms: 4(-1 + 2t) + -1t = 3t + 8 (-1 * 4 + 2t * 4) + -1t = 3t + 8 (-4 + 8t) + -1t = 3t + 8 Combine like terms: 8t + -1t = 7t -4 + 7t = 3t + 8 Reorder the terms: -4 + 7t = 8 + 3t Solving -4 + 7t = 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. -4 + 7t + -3t = 8 + 3t + -3t Combine like terms: 7t + -3t = 4t -4 + 4t = 8 + 3t + -3t Combine like terms: 3t + -3t = 0 -4 + 4t = 8 + 0 -4 + 4t = 8 Add '4' to each side of the equation. -4 + 4 + 4t = 8 + 4 Combine like terms: -4 + 4 = 0 0 + 4t = 8 + 4 4t = 8 + 4 Combine like terms: 8 + 4 = 12 4t = 12 Divide each side by '4'. t = 3 Simplifying t = 3
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