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Simplifying -2(t + -2) + 4t = 6t + -4 Reorder the terms: -2(-2 + t) + 4t = 6t + -4 (-2 * -2 + t * -2) + 4t = 6t + -4 (4 + -2t) + 4t = 6t + -4 Combine like terms: -2t + 4t = 2t 4 + 2t = 6t + -4 Reorder the terms: 4 + 2t = -4 + 6t Solving 4 + 2t = -4 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. 4 + 2t + -6t = -4 + 6t + -6t Combine like terms: 2t + -6t = -4t 4 + -4t = -4 + 6t + -6t Combine like terms: 6t + -6t = 0 4 + -4t = -4 + 0 4 + -4t = -4 Add '-4' to each side of the equation. 4 + -4 + -4t = -4 + -4 Combine like terms: 4 + -4 = 0 0 + -4t = -4 + -4 -4t = -4 + -4 Combine like terms: -4 + -4 = -8 -4t = -8 Divide each side by '-4'. t = 2 Simplifying t = 2
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