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Simplifying -3(4t + -5) + 6t = 7t + -8 Reorder the terms: -3(-5 + 4t) + 6t = 7t + -8 (-5 * -3 + 4t * -3) + 6t = 7t + -8 (15 + -12t) + 6t = 7t + -8 Combine like terms: -12t + 6t = -6t 15 + -6t = 7t + -8 Reorder the terms: 15 + -6t = -8 + 7t Solving 15 + -6t = -8 + 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. 15 + -6t + -7t = -8 + 7t + -7t Combine like terms: -6t + -7t = -13t 15 + -13t = -8 + 7t + -7t Combine like terms: 7t + -7t = 0 15 + -13t = -8 + 0 15 + -13t = -8 Add '-15' to each side of the equation. 15 + -15 + -13t = -8 + -15 Combine like terms: 15 + -15 = 0 0 + -13t = -8 + -15 -13t = -8 + -15 Combine like terms: -8 + -15 = -23 -13t = -23 Divide each side by '-13'. t = 1.769230769 Simplifying t = 1.769230769
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