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Simplifying -4(t + -3) + 6t = 9t + -2 Reorder the terms: -4(-3 + t) + 6t = 9t + -2 (-3 * -4 + t * -4) + 6t = 9t + -2 (12 + -4t) + 6t = 9t + -2 Combine like terms: -4t + 6t = 2t 12 + 2t = 9t + -2 Reorder the terms: 12 + 2t = -2 + 9t Solving 12 + 2t = -2 + 9t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-9t' to each side of the equation. 12 + 2t + -9t = -2 + 9t + -9t Combine like terms: 2t + -9t = -7t 12 + -7t = -2 + 9t + -9t Combine like terms: 9t + -9t = 0 12 + -7t = -2 + 0 12 + -7t = -2 Add '-12' to each side of the equation. 12 + -12 + -7t = -2 + -12 Combine like terms: 12 + -12 = 0 0 + -7t = -2 + -12 -7t = -2 + -12 Combine like terms: -2 + -12 = -14 -7t = -14 Divide each side by '-7'. t = 2 Simplifying t = 2
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