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Simplifying 3(t + -2) + 6t = 7t + -9 Reorder the terms: 3(-2 + t) + 6t = 7t + -9 (-2 * 3 + t * 3) + 6t = 7t + -9 (-6 + 3t) + 6t = 7t + -9 Combine like terms: 3t + 6t = 9t -6 + 9t = 7t + -9 Reorder the terms: -6 + 9t = -9 + 7t Solving -6 + 9t = -9 + 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. -6 + 9t + -7t = -9 + 7t + -7t Combine like terms: 9t + -7t = 2t -6 + 2t = -9 + 7t + -7t Combine like terms: 7t + -7t = 0 -6 + 2t = -9 + 0 -6 + 2t = -9 Add '6' to each side of the equation. -6 + 6 + 2t = -9 + 6 Combine like terms: -6 + 6 = 0 0 + 2t = -9 + 6 2t = -9 + 6 Combine like terms: -9 + 6 = -3 2t = -3 Divide each side by '2'. t = -1.5 Simplifying t = -1.5
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