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Simplifying 3 + -1(2 + -1t) = 5t + -7 3 + (2 * -1 + -1t * -1) = 5t + -7 3 + (-2 + 1t) = 5t + -7 Combine like terms: 3 + -2 = 1 1 + 1t = 5t + -7 Reorder the terms: 1 + 1t = -7 + 5t Solving 1 + 1t = -7 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. 1 + 1t + -5t = -7 + 5t + -5t Combine like terms: 1t + -5t = -4t 1 + -4t = -7 + 5t + -5t Combine like terms: 5t + -5t = 0 1 + -4t = -7 + 0 1 + -4t = -7 Add '-1' to each side of the equation. 1 + -1 + -4t = -7 + -1 Combine like terms: 1 + -1 = 0 0 + -4t = -7 + -1 -4t = -7 + -1 Combine like terms: -7 + -1 = -8 -4t = -8 Divide each side by '-4'. t = 2 Simplifying t = 2
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