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Simplifying 5(6t + -3) = 6(3t + -1) Reorder the terms: 5(-3 + 6t) = 6(3t + -1) (-3 * 5 + 6t * 5) = 6(3t + -1) (-15 + 30t) = 6(3t + -1) Reorder the terms: -15 + 30t = 6(-1 + 3t) -15 + 30t = (-1 * 6 + 3t * 6) -15 + 30t = (-6 + 18t) Solving -15 + 30t = -6 + 18t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-18t' to each side of the equation. -15 + 30t + -18t = -6 + 18t + -18t Combine like terms: 30t + -18t = 12t -15 + 12t = -6 + 18t + -18t Combine like terms: 18t + -18t = 0 -15 + 12t = -6 + 0 -15 + 12t = -6 Add '15' to each side of the equation. -15 + 15 + 12t = -6 + 15 Combine like terms: -15 + 15 = 0 0 + 12t = -6 + 15 12t = -6 + 15 Combine like terms: -6 + 15 = 9 12t = 9 Divide each side by '12'. t = 0.75 Simplifying t = 0.75
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