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Simplifying 9(t + -5) + 5 = 32 Reorder the terms: 9(-5 + t) + 5 = 32 (-5 * 9 + t * 9) + 5 = 32 (-45 + 9t) + 5 = 32 Reorder the terms: -45 + 5 + 9t = 32 Combine like terms: -45 + 5 = -40 -40 + 9t = 32 Solving -40 + 9t = 32 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + 9t = 32 + 40 Combine like terms: -40 + 40 = 0 0 + 9t = 32 + 40 9t = 32 + 40 Combine like terms: 32 + 40 = 72 9t = 72 Divide each side by '9'. t = 8 Simplifying t = 8
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