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Simplifying -6t + -1 = 8 + 3t + 10 Reorder the terms: -1 + -6t = 8 + 3t + 10 Reorder the terms: -1 + -6t = 8 + 10 + 3t Combine like terms: 8 + 10 = 18 -1 + -6t = 18 + 3t Solving -1 + -6t = 18 + 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. -1 + -6t + -3t = 18 + 3t + -3t Combine like terms: -6t + -3t = -9t -1 + -9t = 18 + 3t + -3t Combine like terms: 3t + -3t = 0 -1 + -9t = 18 + 0 -1 + -9t = 18 Add '1' to each side of the equation. -1 + 1 + -9t = 18 + 1 Combine like terms: -1 + 1 = 0 0 + -9t = 18 + 1 -9t = 18 + 1 Combine like terms: 18 + 1 = 19 -9t = 19 Divide each side by '-9'. t = -2.111111111 Simplifying t = -2.111111111
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