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Simplifying 5 + 3t + -3 = 6t + 9 + -2t Reorder the terms: 5 + -3 + 3t = 6t + 9 + -2t Combine like terms: 5 + -3 = 2 2 + 3t = 6t + 9 + -2t Reorder the terms: 2 + 3t = 9 + 6t + -2t Combine like terms: 6t + -2t = 4t 2 + 3t = 9 + 4t Solving 2 + 3t = 9 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 2 + 3t + -4t = 9 + 4t + -4t Combine like terms: 3t + -4t = -1t 2 + -1t = 9 + 4t + -4t Combine like terms: 4t + -4t = 0 2 + -1t = 9 + 0 2 + -1t = 9 Add '-2' to each side of the equation. 2 + -2 + -1t = 9 + -2 Combine like terms: 2 + -2 = 0 0 + -1t = 9 + -2 -1t = 9 + -2 Combine like terms: 9 + -2 = 7 -1t = 7 Divide each side by '-1'. t = -7 Simplifying t = -7
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