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Simplifying 5t + -6 = 8t + 33 Reorder the terms: -6 + 5t = 8t + 33 Reorder the terms: -6 + 5t = 33 + 8t Solving -6 + 5t = 33 + 8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8t' to each side of the equation. -6 + 5t + -8t = 33 + 8t + -8t Combine like terms: 5t + -8t = -3t -6 + -3t = 33 + 8t + -8t Combine like terms: 8t + -8t = 0 -6 + -3t = 33 + 0 -6 + -3t = 33 Add '6' to each side of the equation. -6 + 6 + -3t = 33 + 6 Combine like terms: -6 + 6 = 0 0 + -3t = 33 + 6 -3t = 33 + 6 Combine like terms: 33 + 6 = 39 -3t = 39 Divide each side by '-3'. t = -13 Simplifying t = -13
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