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