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