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Simplifying -3t + -8 + 7t = 35 + 9t + -2 Reorder the terms: -8 + -3t + 7t = 35 + 9t + -2 Combine like terms: -3t + 7t = 4t -8 + 4t = 35 + 9t + -2 Reorder the terms: -8 + 4t = 35 + -2 + 9t Combine like terms: 35 + -2 = 33 -8 + 4t = 33 + 9t Solving -8 + 4t = 33 + 9t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-9t' to each side of the equation. -8 + 4t + -9t = 33 + 9t + -9t Combine like terms: 4t + -9t = -5t -8 + -5t = 33 + 9t + -9t Combine like terms: 9t + -9t = 0 -8 + -5t = 33 + 0 -8 + -5t = 33 Add '8' to each side of the equation. -8 + 8 + -5t = 33 + 8 Combine like terms: -8 + 8 = 0 0 + -5t = 33 + 8 -5t = 33 + 8 Combine like terms: 33 + 8 = 41 -5t = 41 Divide each side by '-5'. t = -8.2 Simplifying t = -8.2
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