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Simplifying 15(2t + -6) = 6t + -3 Reorder the terms: 15(-6 + 2t) = 6t + -3 (-6 * 15 + 2t * 15) = 6t + -3 (-90 + 30t) = 6t + -3 Reorder the terms: -90 + 30t = -3 + 6t Solving -90 + 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. -90 + 30t + -6t = -3 + 6t + -6t Combine like terms: 30t + -6t = 24t -90 + 24t = -3 + 6t + -6t Combine like terms: 6t + -6t = 0 -90 + 24t = -3 + 0 -90 + 24t = -3 Add '90' to each side of the equation. -90 + 90 + 24t = -3 + 90 Combine like terms: -90 + 90 = 0 0 + 24t = -3 + 90 24t = -3 + 90 Combine like terms: -3 + 90 = 87 24t = 87 Divide each side by '24'. t = 3.625 Simplifying t = 3.625
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