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Simplifying -2(2t + -4) = -4(-1t + 2) Reorder the terms: -2(-4 + 2t) = -4(-1t + 2) (-4 * -2 + 2t * -2) = -4(-1t + 2) (8 + -4t) = -4(-1t + 2) Reorder the terms: 8 + -4t = -4(2 + -1t) 8 + -4t = (2 * -4 + -1t * -4) 8 + -4t = (-8 + 4t) Solving 8 + -4t = -8 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 8 + -4t + -4t = -8 + 4t + -4t Combine like terms: -4t + -4t = -8t 8 + -8t = -8 + 4t + -4t Combine like terms: 4t + -4t = 0 8 + -8t = -8 + 0 8 + -8t = -8 Add '-8' to each side of the equation. 8 + -8 + -8t = -8 + -8 Combine like terms: 8 + -8 = 0 0 + -8t = -8 + -8 -8t = -8 + -8 Combine like terms: -8 + -8 = -16 -8t = -16 Divide each side by '-8'. t = 2 Simplifying t = 2
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