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Simplifying -3(t + -4) + 5t = 9t + -9 Reorder the terms: -3(-4 + t) + 5t = 9t + -9 (-4 * -3 + t * -3) + 5t = 9t + -9 (12 + -3t) + 5t = 9t + -9 Combine like terms: -3t + 5t = 2t 12 + 2t = 9t + -9 Reorder the terms: 12 + 2t = -9 + 9t Solving 12 + 2t = -9 + 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. 12 + 2t + -9t = -9 + 9t + -9t Combine like terms: 2t + -9t = -7t 12 + -7t = -9 + 9t + -9t Combine like terms: 9t + -9t = 0 12 + -7t = -9 + 0 12 + -7t = -9 Add '-12' to each side of the equation. 12 + -12 + -7t = -9 + -12 Combine like terms: 12 + -12 = 0 0 + -7t = -9 + -12 -7t = -9 + -12 Combine like terms: -9 + -12 = -21 -7t = -21 Divide each side by '-7'. t = 3 Simplifying t = 3
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