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Simplifying -2 + 2(2 + 0.5t) = 8 + -3t -2 + (2 * 2 + 0.5t * 2) = 8 + -3t -2 + (4 + 1t) = 8 + -3t Combine like terms: -2 + 4 = 2 2 + 1t = 8 + -3t Solving 2 + 1t = 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. 2 + 1t + 3t = 8 + -3t + 3t Combine like terms: 1t + 3t = 4t 2 + 4t = 8 + -3t + 3t Combine like terms: -3t + 3t = 0 2 + 4t = 8 + 0 2 + 4t = 8 Add '-2' to each side of the equation. 2 + -2 + 4t = 8 + -2 Combine like terms: 2 + -2 = 0 0 + 4t = 8 + -2 4t = 8 + -2 Combine like terms: 8 + -2 = 6 4t = 6 Divide each side by '4'. t = 1.5 Simplifying t = 1.5
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