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Simplifying 9t + -5 + -3(2t + -4) = 22 Reorder the terms: 9t + -5 + -3(-4 + 2t) = 22 9t + -5 + (-4 * -3 + 2t * -3) = 22 9t + -5 + (12 + -6t) = 22 Reorder the terms: -5 + 12 + 9t + -6t = 22 Combine like terms: -5 + 12 = 7 7 + 9t + -6t = 22 Combine like terms: 9t + -6t = 3t 7 + 3t = 22 Solving 7 + 3t = 22 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 3t = 22 + -7 Combine like terms: 7 + -7 = 0 0 + 3t = 22 + -7 3t = 22 + -7 Combine like terms: 22 + -7 = 15 3t = 15 Divide each side by '3'. t = 5 Simplifying t = 5
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