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Simplifying 6 + 5t + -2 = 9t + 10 + -3t Reorder the terms: 6 + -2 + 5t = 9t + 10 + -3t Combine like terms: 6 + -2 = 4 4 + 5t = 9t + 10 + -3t Reorder the terms: 4 + 5t = 10 + 9t + -3t Combine like terms: 9t + -3t = 6t 4 + 5t = 10 + 6t Solving 4 + 5t = 10 + 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. 4 + 5t + -6t = 10 + 6t + -6t Combine like terms: 5t + -6t = -1t 4 + -1t = 10 + 6t + -6t Combine like terms: 6t + -6t = 0 4 + -1t = 10 + 0 4 + -1t = 10 Add '-4' to each side of the equation. 4 + -4 + -1t = 10 + -4 Combine like terms: 4 + -4 = 0 0 + -1t = 10 + -4 -1t = 10 + -4 Combine like terms: 10 + -4 = 6 -1t = 6 Divide each side by '-1'. t = -6 Simplifying t = -6
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