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Simplifying -5t + -2 + -10 = 6 + -9t Reorder the terms: -2 + -10 + -5t = 6 + -9t Combine like terms: -2 + -10 = -12 -12 + -5t = 6 + -9t Solving -12 + -5t = 6 + -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. -12 + -5t + 9t = 6 + -9t + 9t Combine like terms: -5t + 9t = 4t -12 + 4t = 6 + -9t + 9t Combine like terms: -9t + 9t = 0 -12 + 4t = 6 + 0 -12 + 4t = 6 Add '12' to each side of the equation. -12 + 12 + 4t = 6 + 12 Combine like terms: -12 + 12 = 0 0 + 4t = 6 + 12 4t = 6 + 12 Combine like terms: 6 + 12 = 18 4t = 18 Divide each side by '4'. t = 4.5 Simplifying t = 4.5
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