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Simplifying -3(4t + -5) + 5t = 6t + -5 Reorder the terms: -3(-5 + 4t) + 5t = 6t + -5 (-5 * -3 + 4t * -3) + 5t = 6t + -5 (15 + -12t) + 5t = 6t + -5 Combine like terms: -12t + 5t = -7t 15 + -7t = 6t + -5 Reorder the terms: 15 + -7t = -5 + 6t Solving 15 + -7t = -5 + 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. 15 + -7t + -6t = -5 + 6t + -6t Combine like terms: -7t + -6t = -13t 15 + -13t = -5 + 6t + -6t Combine like terms: 6t + -6t = 0 15 + -13t = -5 + 0 15 + -13t = -5 Add '-15' to each side of the equation. 15 + -15 + -13t = -5 + -15 Combine like terms: 15 + -15 = 0 0 + -13t = -5 + -15 -13t = -5 + -15 Combine like terms: -5 + -15 = -20 -13t = -20 Divide each side by '-13'. t = 1.538461538 Simplifying t = 1.538461538
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