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Simplifying 16(6t + 3) = 9(4t + 2) Reorder the terms: 16(3 + 6t) = 9(4t + 2) (3 * 16 + 6t * 16) = 9(4t + 2) (48 + 96t) = 9(4t + 2) Reorder the terms: 48 + 96t = 9(2 + 4t) 48 + 96t = (2 * 9 + 4t * 9) 48 + 96t = (18 + 36t) Solving 48 + 96t = 18 + 36t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-36t' to each side of the equation. 48 + 96t + -36t = 18 + 36t + -36t Combine like terms: 96t + -36t = 60t 48 + 60t = 18 + 36t + -36t Combine like terms: 36t + -36t = 0 48 + 60t = 18 + 0 48 + 60t = 18 Add '-48' to each side of the equation. 48 + -48 + 60t = 18 + -48 Combine like terms: 48 + -48 = 0 0 + 60t = 18 + -48 60t = 18 + -48 Combine like terms: 18 + -48 = -30 60t = -30 Divide each side by '60'. t = -0.5 Simplifying t = -0.5
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