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Simplifying 4(3t + -9) = (4t + -12) Reorder the terms: 4(-9 + 3t) = (4t + -12) (-9 * 4 + 3t * 4) = (4t + -12) (-36 + 12t) = (4t + -12) Reorder the terms: -36 + 12t = (-12 + 4t) Remove parenthesis around (-12 + 4t) -36 + 12t = -12 + 4t Solving -36 + 12t = -12 + 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 = -12 + 4t + -4t Combine like terms: 12t + -4t = 8t -36 + 8t = -12 + 4t + -4t Combine like terms: 4t + -4t = 0 -36 + 8t = -12 + 0 -36 + 8t = -12 Add '36' to each side of the equation. -36 + 36 + 8t = -12 + 36 Combine like terms: -36 + 36 = 0 0 + 8t = -12 + 36 8t = -12 + 36 Combine like terms: -12 + 36 = 24 8t = 24 Divide each side by '8'. t = 3 Simplifying t = 3
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