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Simplifying -6(t + -9) + -2(8 + -9t) = 11(t + 3) + -1 Reorder the terms: -6(-9 + t) + -2(8 + -9t) = 11(t + 3) + -1 (-9 * -6 + t * -6) + -2(8 + -9t) = 11(t + 3) + -1 (54 + -6t) + -2(8 + -9t) = 11(t + 3) + -1 54 + -6t + (8 * -2 + -9t * -2) = 11(t + 3) + -1 54 + -6t + (-16 + 18t) = 11(t + 3) + -1 Reorder the terms: 54 + -16 + -6t + 18t = 11(t + 3) + -1 Combine like terms: 54 + -16 = 38 38 + -6t + 18t = 11(t + 3) + -1 Combine like terms: -6t + 18t = 12t 38 + 12t = 11(t + 3) + -1 Reorder the terms: 38 + 12t = 11(3 + t) + -1 38 + 12t = (3 * 11 + t * 11) + -1 38 + 12t = (33 + 11t) + -1 Reorder the terms: 38 + 12t = 33 + -1 + 11t Combine like terms: 33 + -1 = 32 38 + 12t = 32 + 11t Solving 38 + 12t = 32 + 11t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-11t' to each side of the equation. 38 + 12t + -11t = 32 + 11t + -11t Combine like terms: 12t + -11t = 1t 38 + 1t = 32 + 11t + -11t Combine like terms: 11t + -11t = 0 38 + 1t = 32 + 0 38 + 1t = 32 Add '-38' to each side of the equation. 38 + -38 + 1t = 32 + -38 Combine like terms: 38 + -38 = 0 0 + 1t = 32 + -38 1t = 32 + -38 Combine like terms: 32 + -38 = -6 1t = -6 Divide each side by '1'. t = -6 Simplifying t = -6
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