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Simplifying -4(3t + -2) + 6t = 2t + -9 Reorder the terms: -4(-2 + 3t) + 6t = 2t + -9 (-2 * -4 + 3t * -4) + 6t = 2t + -9 (8 + -12t) + 6t = 2t + -9 Combine like terms: -12t + 6t = -6t 8 + -6t = 2t + -9 Reorder the terms: 8 + -6t = -9 + 2t Solving 8 + -6t = -9 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. 8 + -6t + -2t = -9 + 2t + -2t Combine like terms: -6t + -2t = -8t 8 + -8t = -9 + 2t + -2t Combine like terms: 2t + -2t = 0 8 + -8t = -9 + 0 8 + -8t = -9 Add '-8' to each side of the equation. 8 + -8 + -8t = -9 + -8 Combine like terms: 8 + -8 = 0 0 + -8t = -9 + -8 -8t = -9 + -8 Combine like terms: -9 + -8 = -17 -8t = -17 Divide each side by '-8'. t = 2.125 Simplifying t = 2.125
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