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Simplifying -3(5t + -3) + 6t = 4t + -8 Reorder the terms: -3(-3 + 5t) + 6t = 4t + -8 (-3 * -3 + 5t * -3) + 6t = 4t + -8 (9 + -15t) + 6t = 4t + -8 Combine like terms: -15t + 6t = -9t 9 + -9t = 4t + -8 Reorder the terms: 9 + -9t = -8 + 4t Solving 9 + -9t = -8 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 9 + -9t + -4t = -8 + 4t + -4t Combine like terms: -9t + -4t = -13t 9 + -13t = -8 + 4t + -4t Combine like terms: 4t + -4t = 0 9 + -13t = -8 + 0 9 + -13t = -8 Add '-9' to each side of the equation. 9 + -9 + -13t = -8 + -9 Combine like terms: 9 + -9 = 0 0 + -13t = -8 + -9 -13t = -8 + -9 Combine like terms: -8 + -9 = -17 -13t = -17 Divide each side by '-13'. t = 1.307692308 Simplifying t = 1.307692308
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