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Simplifying 9(5 + t) + -3(t + 4) = 0 (5 * 9 + t * 9) + -3(t + 4) = 0 (45 + 9t) + -3(t + 4) = 0 Reorder the terms: 45 + 9t + -3(4 + t) = 0 45 + 9t + (4 * -3 + t * -3) = 0 45 + 9t + (-12 + -3t) = 0 Reorder the terms: 45 + -12 + 9t + -3t = 0 Combine like terms: 45 + -12 = 33 33 + 9t + -3t = 0 Combine like terms: 9t + -3t = 6t 33 + 6t = 0 Solving 33 + 6t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + -33 + 6t = 0 + -33 Combine like terms: 33 + -33 = 0 0 + 6t = 0 + -33 6t = 0 + -33 Combine like terms: 0 + -33 = -33 6t = -33 Divide each side by '6'. t = -5.5 Simplifying t = -5.5
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