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Simplifying 3(t + -3) = 4(3t + 9) Reorder the terms: 3(-3 + t) = 4(3t + 9) (-3 * 3 + t * 3) = 4(3t + 9) (-9 + 3t) = 4(3t + 9) Reorder the terms: -9 + 3t = 4(9 + 3t) -9 + 3t = (9 * 4 + 3t * 4) -9 + 3t = (36 + 12t) Solving -9 + 3t = 36 + 12t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-12t' to each side of the equation. -9 + 3t + -12t = 36 + 12t + -12t Combine like terms: 3t + -12t = -9t -9 + -9t = 36 + 12t + -12t Combine like terms: 12t + -12t = 0 -9 + -9t = 36 + 0 -9 + -9t = 36 Add '9' to each side of the equation. -9 + 9 + -9t = 36 + 9 Combine like terms: -9 + 9 = 0 0 + -9t = 36 + 9 -9t = 36 + 9 Combine like terms: 36 + 9 = 45 -9t = 45 Divide each side by '-9'. t = -5 Simplifying t = -5
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