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Simplifying 3(3t + -4) = 2t + 12 Reorder the terms: 3(-4 + 3t) = 2t + 12 (-4 * 3 + 3t * 3) = 2t + 12 (-12 + 9t) = 2t + 12 Reorder the terms: -12 + 9t = 12 + 2t Solving -12 + 9t = 12 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. -12 + 9t + -2t = 12 + 2t + -2t Combine like terms: 9t + -2t = 7t -12 + 7t = 12 + 2t + -2t Combine like terms: 2t + -2t = 0 -12 + 7t = 12 + 0 -12 + 7t = 12 Add '12' to each side of the equation. -12 + 12 + 7t = 12 + 12 Combine like terms: -12 + 12 = 0 0 + 7t = 12 + 12 7t = 12 + 12 Combine like terms: 12 + 12 = 24 7t = 24 Divide each side by '7'. t = 3.428571429 Simplifying t = 3.428571429
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