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Simplifying -5t + -5 + 8t = 6t + -2 Reorder the terms: -5 + -5t + 8t = 6t + -2 Combine like terms: -5t + 8t = 3t -5 + 3t = 6t + -2 Reorder the terms: -5 + 3t = -2 + 6t Solving -5 + 3t = -2 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. -5 + 3t + -6t = -2 + 6t + -6t Combine like terms: 3t + -6t = -3t -5 + -3t = -2 + 6t + -6t Combine like terms: 6t + -6t = 0 -5 + -3t = -2 + 0 -5 + -3t = -2 Add '5' to each side of the equation. -5 + 5 + -3t = -2 + 5 Combine like terms: -5 + 5 = 0 0 + -3t = -2 + 5 -3t = -2 + 5 Combine like terms: -2 + 5 = 3 -3t = 3 Divide each side by '-3'. t = -1 Simplifying t = -1
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