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Simplifying 4(9 + t) + -12 = -6 (9 * 4 + t * 4) + -12 = -6 (36 + 4t) + -12 = -6 Reorder the terms: 36 + -12 + 4t = -6 Combine like terms: 36 + -12 = 24 24 + 4t = -6 Solving 24 + 4t = -6 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 4t = -6 + -24 Combine like terms: 24 + -24 = 0 0 + 4t = -6 + -24 4t = -6 + -24 Combine like terms: -6 + -24 = -30 4t = -30 Divide each side by '4'. t = -7.5 Simplifying t = -7.5
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