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Simplifying 3(3t + -4) + 12 = 4t + -3 Reorder the terms: 3(-4 + 3t) + 12 = 4t + -3 (-4 * 3 + 3t * 3) + 12 = 4t + -3 (-12 + 9t) + 12 = 4t + -3 Reorder the terms: -12 + 12 + 9t = 4t + -3 Combine like terms: -12 + 12 = 0 0 + 9t = 4t + -3 9t = 4t + -3 Reorder the terms: 9t = -3 + 4t Solving 9t = -3 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 9t + -4t = -3 + 4t + -4t Combine like terms: 9t + -4t = 5t 5t = -3 + 4t + -4t Combine like terms: 4t + -4t = 0 5t = -3 + 0 5t = -3 Divide each side by '5'. t = -0.6 Simplifying t = -0.6
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