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Simplifying 11 + -6t + -14 = 8t + 33 + -5t Reorder the terms: 11 + -14 + -6t = 8t + 33 + -5t Combine like terms: 11 + -14 = -3 -3 + -6t = 8t + 33 + -5t Reorder the terms: -3 + -6t = 33 + 8t + -5t Combine like terms: 8t + -5t = 3t -3 + -6t = 33 + 3t Solving -3 + -6t = 33 + 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. -3 + -6t + -3t = 33 + 3t + -3t Combine like terms: -6t + -3t = -9t -3 + -9t = 33 + 3t + -3t Combine like terms: 3t + -3t = 0 -3 + -9t = 33 + 0 -3 + -9t = 33 Add '3' to each side of the equation. -3 + 3 + -9t = 33 + 3 Combine like terms: -3 + 3 = 0 0 + -9t = 33 + 3 -9t = 33 + 3 Combine like terms: 33 + 3 = 36 -9t = 36 Divide each side by '-9'. t = -4 Simplifying t = -4
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