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Simplifying -3(t + -4) + -2(t + 4) = 9 Reorder the terms: -3(-4 + t) + -2(t + 4) = 9 (-4 * -3 + t * -3) + -2(t + 4) = 9 (12 + -3t) + -2(t + 4) = 9 Reorder the terms: 12 + -3t + -2(4 + t) = 9 12 + -3t + (4 * -2 + t * -2) = 9 12 + -3t + (-8 + -2t) = 9 Reorder the terms: 12 + -8 + -3t + -2t = 9 Combine like terms: 12 + -8 = 4 4 + -3t + -2t = 9 Combine like terms: -3t + -2t = -5t 4 + -5t = 9 Solving 4 + -5t = 9 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -5t = 9 + -4 Combine like terms: 4 + -4 = 0 0 + -5t = 9 + -4 -5t = 9 + -4 Combine like terms: 9 + -4 = 5 -5t = 5 Divide each side by '-5'. t = -1 Simplifying t = -1
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