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