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Simplifying -3(4t + -2) + 5t = 6t + -8 Reorder the terms: -3(-2 + 4t) + 5t = 6t + -8 (-2 * -3 + 4t * -3) + 5t = 6t + -8 (6 + -12t) + 5t = 6t + -8 Combine like terms: -12t + 5t = -7t 6 + -7t = 6t + -8 Reorder the terms: 6 + -7t = -8 + 6t Solving 6 + -7t = -8 + 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. 6 + -7t + -6t = -8 + 6t + -6t Combine like terms: -7t + -6t = -13t 6 + -13t = -8 + 6t + -6t Combine like terms: 6t + -6t = 0 6 + -13t = -8 + 0 6 + -13t = -8 Add '-6' to each side of the equation. 6 + -6 + -13t = -8 + -6 Combine like terms: 6 + -6 = 0 0 + -13t = -8 + -6 -13t = -8 + -6 Combine like terms: -8 + -6 = -14 -13t = -14 Divide each side by '-13'. t = 1.076923077 Simplifying t = 1.076923077
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