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Simplifying 3(4t + -5) = 5(t + 3) Reorder the terms: 3(-5 + 4t) = 5(t + 3) (-5 * 3 + 4t * 3) = 5(t + 3) (-15 + 12t) = 5(t + 3) Reorder the terms: -15 + 12t = 5(3 + t) -15 + 12t = (3 * 5 + t * 5) -15 + 12t = (15 + 5t) Solving -15 + 12t = 15 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. -15 + 12t + -5t = 15 + 5t + -5t Combine like terms: 12t + -5t = 7t -15 + 7t = 15 + 5t + -5t Combine like terms: 5t + -5t = 0 -15 + 7t = 15 + 0 -15 + 7t = 15 Add '15' to each side of the equation. -15 + 15 + 7t = 15 + 15 Combine like terms: -15 + 15 = 0 0 + 7t = 15 + 15 7t = 15 + 15 Combine like terms: 15 + 15 = 30 7t = 30 Divide each side by '7'. t = 4.285714286 Simplifying t = 4.285714286
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