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Simplifying -4(3t + -3) + 9t = 2t + -5 Reorder the terms: -4(-3 + 3t) + 9t = 2t + -5 (-3 * -4 + 3t * -4) + 9t = 2t + -5 (12 + -12t) + 9t = 2t + -5 Combine like terms: -12t + 9t = -3t 12 + -3t = 2t + -5 Reorder the terms: 12 + -3t = -5 + 2t Solving 12 + -3t = -5 + 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 + -3t + -2t = -5 + 2t + -2t Combine like terms: -3t + -2t = -5t 12 + -5t = -5 + 2t + -2t Combine like terms: 2t + -2t = 0 12 + -5t = -5 + 0 12 + -5t = -5 Add '-12' to each side of the equation. 12 + -12 + -5t = -5 + -12 Combine like terms: 12 + -12 = 0 0 + -5t = -5 + -12 -5t = -5 + -12 Combine like terms: -5 + -12 = -17 -5t = -17 Divide each side by '-5'. t = 3.4 Simplifying t = 3.4
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