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Simplifying 9(t + -3) = -3(2t + 4) Reorder the terms: 9(-3 + t) = -3(2t + 4) (-3 * 9 + t * 9) = -3(2t + 4) (-27 + 9t) = -3(2t + 4) Reorder the terms: -27 + 9t = -3(4 + 2t) -27 + 9t = (4 * -3 + 2t * -3) -27 + 9t = (-12 + -6t) Solving -27 + 9t = -12 + -6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '6t' to each side of the equation. -27 + 9t + 6t = -12 + -6t + 6t Combine like terms: 9t + 6t = 15t -27 + 15t = -12 + -6t + 6t Combine like terms: -6t + 6t = 0 -27 + 15t = -12 + 0 -27 + 15t = -12 Add '27' to each side of the equation. -27 + 27 + 15t = -12 + 27 Combine like terms: -27 + 27 = 0 0 + 15t = -12 + 27 15t = -12 + 27 Combine like terms: -12 + 27 = 15 15t = 15 Divide each side by '15'. t = 1 Simplifying t = 1
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