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Simplifying 12(t + -3) = 4(t + 6) Reorder the terms: 12(-3 + t) = 4(t + 6) (-3 * 12 + t * 12) = 4(t + 6) (-36 + 12t) = 4(t + 6) Reorder the terms: -36 + 12t = 4(6 + t) -36 + 12t = (6 * 4 + t * 4) -36 + 12t = (24 + 4t) Solving -36 + 12t = 24 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. -36 + 12t + -4t = 24 + 4t + -4t Combine like terms: 12t + -4t = 8t -36 + 8t = 24 + 4t + -4t Combine like terms: 4t + -4t = 0 -36 + 8t = 24 + 0 -36 + 8t = 24 Add '36' to each side of the equation. -36 + 36 + 8t = 24 + 36 Combine like terms: -36 + 36 = 0 0 + 8t = 24 + 36 8t = 24 + 36 Combine like terms: 24 + 36 = 60 8t = 60 Divide each side by '8'. t = 7.5 Simplifying t = 7.5
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