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Simplifying -2(t + -1) + 5t = 6t + -2 Reorder the terms: -2(-1 + t) + 5t = 6t + -2 (-1 * -2 + t * -2) + 5t = 6t + -2 (2 + -2t) + 5t = 6t + -2 Combine like terms: -2t + 5t = 3t 2 + 3t = 6t + -2 Reorder the terms: 2 + 3t = -2 + 6t Solving 2 + 3t = -2 + 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 + 3t + -6t = -2 + 6t + -6t Combine like terms: 3t + -6t = -3t 2 + -3t = -2 + 6t + -6t Combine like terms: 6t + -6t = 0 2 + -3t = -2 + 0 2 + -3t = -2 Add '-2' to each side of the equation. 2 + -2 + -3t = -2 + -2 Combine like terms: 2 + -2 = 0 0 + -3t = -2 + -2 -3t = -2 + -2 Combine like terms: -2 + -2 = -4 -3t = -4 Divide each side by '-3'. t = 1.333333333 Simplifying t = 1.333333333
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