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Simplifying -2(t + -1) + 4t = 6t + -3 Reorder the terms: -2(-1 + t) + 4t = 6t + -3 (-1 * -2 + t * -2) + 4t = 6t + -3 (2 + -2t) + 4t = 6t + -3 Combine like terms: -2t + 4t = 2t 2 + 2t = 6t + -3 Reorder the terms: 2 + 2t = -3 + 6t Solving 2 + 2t = -3 + 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. 2 + 2t + -6t = -3 + 6t + -6t Combine like terms: 2t + -6t = -4t 2 + -4t = -3 + 6t + -6t Combine like terms: 6t + -6t = 0 2 + -4t = -3 + 0 2 + -4t = -3 Add '-2' to each side of the equation. 2 + -2 + -4t = -3 + -2 Combine like terms: 2 + -2 = 0 0 + -4t = -3 + -2 -4t = -3 + -2 Combine like terms: -3 + -2 = -5 -4t = -5 Divide each side by '-4'. t = 1.25 Simplifying t = 1.25
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