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Simplifying 9(t + -1) = 6(t + 2) + -1t Reorder the terms: 9(-1 + t) = 6(t + 2) + -1t (-1 * 9 + t * 9) = 6(t + 2) + -1t (-9 + 9t) = 6(t + 2) + -1t Reorder the terms: -9 + 9t = 6(2 + t) + -1t -9 + 9t = (2 * 6 + t * 6) + -1t -9 + 9t = (12 + 6t) + -1t Combine like terms: 6t + -1t = 5t -9 + 9t = 12 + 5t Solving -9 + 9t = 12 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. -9 + 9t + -5t = 12 + 5t + -5t Combine like terms: 9t + -5t = 4t -9 + 4t = 12 + 5t + -5t Combine like terms: 5t + -5t = 0 -9 + 4t = 12 + 0 -9 + 4t = 12 Add '9' to each side of the equation. -9 + 9 + 4t = 12 + 9 Combine like terms: -9 + 9 = 0 0 + 4t = 12 + 9 4t = 12 + 9 Combine like terms: 12 + 9 = 21 4t = 21 Divide each side by '4'. t = 5.25 Simplifying t = 5.25
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