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Simplifying -2(3t + -2) + 4 = 6t + -9 Reorder the terms: -2(-2 + 3t) + 4 = 6t + -9 (-2 * -2 + 3t * -2) + 4 = 6t + -9 (4 + -6t) + 4 = 6t + -9 Reorder the terms: 4 + 4 + -6t = 6t + -9 Combine like terms: 4 + 4 = 8 8 + -6t = 6t + -9 Reorder the terms: 8 + -6t = -9 + 6t Solving 8 + -6t = -9 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. 8 + -6t + -6t = -9 + 6t + -6t Combine like terms: -6t + -6t = -12t 8 + -12t = -9 + 6t + -6t Combine like terms: 6t + -6t = 0 8 + -12t = -9 + 0 8 + -12t = -9 Add '-8' to each side of the equation. 8 + -8 + -12t = -9 + -8 Combine like terms: 8 + -8 = 0 0 + -12t = -9 + -8 -12t = -9 + -8 Combine like terms: -9 + -8 = -17 -12t = -17 Divide each side by '-12'. t = 1.416666667 Simplifying t = 1.416666667
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