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Simplifying 7 + -3t + 2 = 5t + -3 + -2t Reorder the terms: 7 + 2 + -3t = 5t + -3 + -2t Combine like terms: 7 + 2 = 9 9 + -3t = 5t + -3 + -2t Reorder the terms: 9 + -3t = -3 + 5t + -2t Combine like terms: 5t + -2t = 3t 9 + -3t = -3 + 3t Solving 9 + -3t = -3 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. 9 + -3t + -3t = -3 + 3t + -3t Combine like terms: -3t + -3t = -6t 9 + -6t = -3 + 3t + -3t Combine like terms: 3t + -3t = 0 9 + -6t = -3 + 0 9 + -6t = -3 Add '-9' to each side of the equation. 9 + -9 + -6t = -3 + -9 Combine like terms: 9 + -9 = 0 0 + -6t = -3 + -9 -6t = -3 + -9 Combine like terms: -3 + -9 = -12 -6t = -12 Divide each side by '-6'. t = 2 Simplifying t = 2
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