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Simplifying -1(-4t + 2) = 3t + 5 Reorder the terms: -1(2 + -4t) = 3t + 5 (2 * -1 + -4t * -1) = 3t + 5 (-2 + 4t) = 3t + 5 Reorder the terms: -2 + 4t = 5 + 3t Solving -2 + 4t = 5 + 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 + 4t + -3t = 5 + 3t + -3t Combine like terms: 4t + -3t = 1t -2 + 1t = 5 + 3t + -3t Combine like terms: 3t + -3t = 0 -2 + 1t = 5 + 0 -2 + 1t = 5 Add '2' to each side of the equation. -2 + 2 + 1t = 5 + 2 Combine like terms: -2 + 2 = 0 0 + 1t = 5 + 2 1t = 5 + 2 Combine like terms: 5 + 2 = 7 1t = 7 Divide each side by '1'. t = 7 Simplifying t = 7
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