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Simplifying -2(t + -1) = 3(6t + -6) Reorder the terms: -2(-1 + t) = 3(6t + -6) (-1 * -2 + t * -2) = 3(6t + -6) (2 + -2t) = 3(6t + -6) Reorder the terms: 2 + -2t = 3(-6 + 6t) 2 + -2t = (-6 * 3 + 6t * 3) 2 + -2t = (-18 + 18t) Solving 2 + -2t = -18 + 18t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-18t' to each side of the equation. 2 + -2t + -18t = -18 + 18t + -18t Combine like terms: -2t + -18t = -20t 2 + -20t = -18 + 18t + -18t Combine like terms: 18t + -18t = 0 2 + -20t = -18 + 0 2 + -20t = -18 Add '-2' to each side of the equation. 2 + -2 + -20t = -18 + -2 Combine like terms: 2 + -2 = 0 0 + -20t = -18 + -2 -20t = -18 + -2 Combine like terms: -18 + -2 = -20 -20t = -20 Divide each side by '-20'. t = 1 Simplifying t = 1
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