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