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Simplifying -3(4t + -2) + 6t = 7t + -2 Reorder the terms: -3(-2 + 4t) + 6t = 7t + -2 (-2 * -3 + 4t * -3) + 6t = 7t + -2 (6 + -12t) + 6t = 7t + -2 Combine like terms: -12t + 6t = -6t 6 + -6t = 7t + -2 Reorder the terms: 6 + -6t = -2 + 7t Solving 6 + -6t = -2 + 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 + -6t + -7t = -2 + 7t + -7t Combine like terms: -6t + -7t = -13t 6 + -13t = -2 + 7t + -7t Combine like terms: 7t + -7t = 0 6 + -13t = -2 + 0 6 + -13t = -2 Add '-6' to each side of the equation. 6 + -6 + -13t = -2 + -6 Combine like terms: 6 + -6 = 0 0 + -13t = -2 + -6 -13t = -2 + -6 Combine like terms: -2 + -6 = -8 -13t = -8 Divide each side by '-13'. t = 0.6153846154 Simplifying t = 0.6153846154
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