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Simplifying 6(t + -3) + 6t = 6(t + 2) + -11 Reorder the terms: 6(-3 + t) + 6t = 6(t + 2) + -11 (-3 * 6 + t * 6) + 6t = 6(t + 2) + -11 (-18 + 6t) + 6t = 6(t + 2) + -11 Combine like terms: 6t + 6t = 12t -18 + 12t = 6(t + 2) + -11 Reorder the terms: -18 + 12t = 6(2 + t) + -11 -18 + 12t = (2 * 6 + t * 6) + -11 -18 + 12t = (12 + 6t) + -11 Reorder the terms: -18 + 12t = 12 + -11 + 6t Combine like terms: 12 + -11 = 1 -18 + 12t = 1 + 6t Solving -18 + 12t = 1 + 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. -18 + 12t + -6t = 1 + 6t + -6t Combine like terms: 12t + -6t = 6t -18 + 6t = 1 + 6t + -6t Combine like terms: 6t + -6t = 0 -18 + 6t = 1 + 0 -18 + 6t = 1 Add '18' to each side of the equation. -18 + 18 + 6t = 1 + 18 Combine like terms: -18 + 18 = 0 0 + 6t = 1 + 18 6t = 1 + 18 Combine like terms: 1 + 18 = 19 6t = 19 Divide each side by '6'. t = 3.166666667 Simplifying t = 3.166666667
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