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Simplifying 15(2t + -4) = 6t + -3 Reorder the terms: 15(-4 + 2t) = 6t + -3 (-4 * 15 + 2t * 15) = 6t + -3 (-60 + 30t) = 6t + -3 Reorder the terms: -60 + 30t = -3 + 6t Solving -60 + 30t = -3 + 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. -60 + 30t + -6t = -3 + 6t + -6t Combine like terms: 30t + -6t = 24t -60 + 24t = -3 + 6t + -6t Combine like terms: 6t + -6t = 0 -60 + 24t = -3 + 0 -60 + 24t = -3 Add '60' to each side of the equation. -60 + 60 + 24t = -3 + 60 Combine like terms: -60 + 60 = 0 0 + 24t = -3 + 60 24t = -3 + 60 Combine like terms: -3 + 60 = 57 24t = 57 Divide each side by '24'. t = 2.375 Simplifying t = 2.375
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