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Simplifying 4t + 9 = -6t + -12 Reorder the terms: 9 + 4t = -6t + -12 Reorder the terms: 9 + 4t = -12 + -6t Solving 9 + 4t = -12 + -6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '6t' to each side of the equation. 9 + 4t + 6t = -12 + -6t + 6t Combine like terms: 4t + 6t = 10t 9 + 10t = -12 + -6t + 6t Combine like terms: -6t + 6t = 0 9 + 10t = -12 + 0 9 + 10t = -12 Add '-9' to each side of the equation. 9 + -9 + 10t = -12 + -9 Combine like terms: 9 + -9 = 0 0 + 10t = -12 + -9 10t = -12 + -9 Combine like terms: -12 + -9 = -21 10t = -21 Divide each side by '10'. t = -2.1 Simplifying t = -2.1
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