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Simplifying 36 + 8t = 9(t + -4) Reorder the terms: 36 + 8t = 9(-4 + t) 36 + 8t = (-4 * 9 + t * 9) 36 + 8t = (-36 + 9t) Solving 36 + 8t = -36 + 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. 36 + 8t + -9t = -36 + 9t + -9t Combine like terms: 8t + -9t = -1t 36 + -1t = -36 + 9t + -9t Combine like terms: 9t + -9t = 0 36 + -1t = -36 + 0 36 + -1t = -36 Add '-36' to each side of the equation. 36 + -36 + -1t = -36 + -36 Combine like terms: 36 + -36 = 0 0 + -1t = -36 + -36 -1t = -36 + -36 Combine like terms: -36 + -36 = -72 -1t = -72 Divide each side by '-1'. t = 72 Simplifying t = 72
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