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Simplifying 4(2 + -1t) = t + -2 (2 * 4 + -1t * 4) = t + -2 (8 + -4t) = t + -2 Reorder the terms: 8 + -4t = -2 + t Solving 8 + -4t = -2 + t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. 8 + -4t + -1t = -2 + t + -1t Combine like terms: -4t + -1t = -5t 8 + -5t = -2 + t + -1t Combine like terms: t + -1t = 0 8 + -5t = -2 + 0 8 + -5t = -2 Add '-8' to each side of the equation. 8 + -8 + -5t = -2 + -8 Combine like terms: 8 + -8 = 0 0 + -5t = -2 + -8 -5t = -2 + -8 Combine like terms: -2 + -8 = -10 -5t = -10 Divide each side by '-5'. t = 2 Simplifying t = 2
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