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Simplifying 9(2t + -4) = 6(t + 2) Reorder the terms: 9(-4 + 2t) = 6(t + 2) (-4 * 9 + 2t * 9) = 6(t + 2) (-36 + 18t) = 6(t + 2) Reorder the terms: -36 + 18t = 6(2 + t) -36 + 18t = (2 * 6 + t * 6) -36 + 18t = (12 + 6t) Solving -36 + 18t = 12 + 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. -36 + 18t + -6t = 12 + 6t + -6t Combine like terms: 18t + -6t = 12t -36 + 12t = 12 + 6t + -6t Combine like terms: 6t + -6t = 0 -36 + 12t = 12 + 0 -36 + 12t = 12 Add '36' to each side of the equation. -36 + 36 + 12t = 12 + 36 Combine like terms: -36 + 36 = 0 0 + 12t = 12 + 36 12t = 12 + 36 Combine like terms: 12 + 36 = 48 12t = 48 Divide each side by '12'. t = 4 Simplifying t = 4
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