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