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Simplifying 4t + 3(x + -9) = 12 Reorder the terms: 4t + 3(-9 + x) = 12 4t + (-9 * 3 + x * 3) = 12 4t + (-27 + 3x) = 12 Reorder the terms: -27 + 4t + 3x = 12 Solving -27 + 4t + 3x = 12 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 4t + 27 + 3x = 12 + 27 Reorder the terms: -27 + 27 + 4t + 3x = 12 + 27 Combine like terms: -27 + 27 = 0 0 + 4t + 3x = 12 + 27 4t + 3x = 12 + 27 Combine like terms: 12 + 27 = 39 4t + 3x = 39 Add '-3x' to each side of the equation. 4t + 3x + -3x = 39 + -3x Combine like terms: 3x + -3x = 0 4t + 0 = 39 + -3x 4t = 39 + -3x Divide each side by '4'. t = 9.75 + -0.75x Simplifying t = 9.75 + -0.75x
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