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Simplifying -4(3t + -2) + 6t = 7t + -9 Reorder the terms: -4(-2 + 3t) + 6t = 7t + -9 (-2 * -4 + 3t * -4) + 6t = 7t + -9 (8 + -12t) + 6t = 7t + -9 Combine like terms: -12t + 6t = -6t 8 + -6t = 7t + -9 Reorder the terms: 8 + -6t = -9 + 7t Solving 8 + -6t = -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. 8 + -6t + -7t = -9 + 7t + -7t Combine like terms: -6t + -7t = -13t 8 + -13t = -9 + 7t + -7t Combine like terms: 7t + -7t = 0 8 + -13t = -9 + 0 8 + -13t = -9 Add '-8' to each side of the equation. 8 + -8 + -13t = -9 + -8 Combine like terms: 8 + -8 = 0 0 + -13t = -9 + -8 -13t = -9 + -8 Combine like terms: -9 + -8 = -17 -13t = -17 Divide each side by '-13'. t = 1.307692308 Simplifying t = 1.307692308
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