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Simplifying 12(t + -3) = 5(3t + 3) + -11 Reorder the terms: 12(-3 + t) = 5(3t + 3) + -11 (-3 * 12 + t * 12) = 5(3t + 3) + -11 (-36 + 12t) = 5(3t + 3) + -11 Reorder the terms: -36 + 12t = 5(3 + 3t) + -11 -36 + 12t = (3 * 5 + 3t * 5) + -11 -36 + 12t = (15 + 15t) + -11 Reorder the terms: -36 + 12t = 15 + -11 + 15t Combine like terms: 15 + -11 = 4 -36 + 12t = 4 + 15t Solving -36 + 12t = 4 + 15t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-15t' to each side of the equation. -36 + 12t + -15t = 4 + 15t + -15t Combine like terms: 12t + -15t = -3t -36 + -3t = 4 + 15t + -15t Combine like terms: 15t + -15t = 0 -36 + -3t = 4 + 0 -36 + -3t = 4 Add '36' to each side of the equation. -36 + 36 + -3t = 4 + 36 Combine like terms: -36 + 36 = 0 0 + -3t = 4 + 36 -3t = 4 + 36 Combine like terms: 4 + 36 = 40 -3t = 40 Divide each side by '-3'. t = -13.33333333 Simplifying t = -13.33333333
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