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Simplifying 6(2t + -9) = 11 + -1(3t + -5) Reorder the terms: 6(-9 + 2t) = 11 + -1(3t + -5) (-9 * 6 + 2t * 6) = 11 + -1(3t + -5) (-54 + 12t) = 11 + -1(3t + -5) Reorder the terms: -54 + 12t = 11 + -1(-5 + 3t) -54 + 12t = 11 + (-5 * -1 + 3t * -1) -54 + 12t = 11 + (5 + -3t) Combine like terms: 11 + 5 = 16 -54 + 12t = 16 + -3t Solving -54 + 12t = 16 + -3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3t' to each side of the equation. -54 + 12t + 3t = 16 + -3t + 3t Combine like terms: 12t + 3t = 15t -54 + 15t = 16 + -3t + 3t Combine like terms: -3t + 3t = 0 -54 + 15t = 16 + 0 -54 + 15t = 16 Add '54' to each side of the equation. -54 + 54 + 15t = 16 + 54 Combine like terms: -54 + 54 = 0 0 + 15t = 16 + 54 15t = 16 + 54 Combine like terms: 16 + 54 = 70 15t = 70 Divide each side by '15'. t = 4.666666667 Simplifying t = 4.666666667
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