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Simplifying 6(t + 2) = 2(9t + -2) Reorder the terms: 6(2 + t) = 2(9t + -2) (2 * 6 + t * 6) = 2(9t + -2) (12 + 6t) = 2(9t + -2) Reorder the terms: 12 + 6t = 2(-2 + 9t) 12 + 6t = (-2 * 2 + 9t * 2) 12 + 6t = (-4 + 18t) Solving 12 + 6t = -4 + 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. 12 + 6t + -18t = -4 + 18t + -18t Combine like terms: 6t + -18t = -12t 12 + -12t = -4 + 18t + -18t Combine like terms: 18t + -18t = 0 12 + -12t = -4 + 0 12 + -12t = -4 Add '-12' to each side of the equation. 12 + -12 + -12t = -4 + -12 Combine like terms: 12 + -12 = 0 0 + -12t = -4 + -12 -12t = -4 + -12 Combine like terms: -4 + -12 = -16 -12t = -16 Divide each side by '-12'. t = 1.333333333 Simplifying t = 1.333333333
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