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Simplifying -8z + -3t + 2 = -5t + -6t Reorder the terms: 2 + -3t + -8z = -5t + -6t Combine like terms: -5t + -6t = -11t 2 + -3t + -8z = -11t Solving 2 + -3t + -8z = -11t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '11t' to each side of the equation. 2 + -3t + 11t + -8z = -11t + 11t Combine like terms: -3t + 11t = 8t 2 + 8t + -8z = -11t + 11t Combine like terms: -11t + 11t = 0 2 + 8t + -8z = 0 Add '-2' to each side of the equation. 2 + 8t + -2 + -8z = 0 + -2 Reorder the terms: 2 + -2 + 8t + -8z = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 8t + -8z = 0 + -2 8t + -8z = 0 + -2 Combine like terms: 0 + -2 = -2 8t + -8z = -2 Add '8z' to each side of the equation. 8t + -8z + 8z = -2 + 8z Combine like terms: -8z + 8z = 0 8t + 0 = -2 + 8z 8t = -2 + 8z Divide each side by '8'. t = -0.25 + z Simplifying t = -0.25 + z
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