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Simplifying -6t + 7 + -10 = 6 + 3t Reorder the terms: 7 + -10 + -6t = 6 + 3t Combine like terms: 7 + -10 = -3 -3 + -6t = 6 + 3t Solving -3 + -6t = 6 + 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. -3 + -6t + -3t = 6 + 3t + -3t Combine like terms: -6t + -3t = -9t -3 + -9t = 6 + 3t + -3t Combine like terms: 3t + -3t = 0 -3 + -9t = 6 + 0 -3 + -9t = 6 Add '3' to each side of the equation. -3 + 3 + -9t = 6 + 3 Combine like terms: -3 + 3 = 0 0 + -9t = 6 + 3 -9t = 6 + 3 Combine like terms: 6 + 3 = 9 -9t = 9 Divide each side by '-9'. t = -1 Simplifying t = -1
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