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Simplifying 2t + 15 = -6t + -9 Reorder the terms: 15 + 2t = -6t + -9 Reorder the terms: 15 + 2t = -9 + -6t Solving 15 + 2t = -9 + -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. 15 + 2t + 6t = -9 + -6t + 6t Combine like terms: 2t + 6t = 8t 15 + 8t = -9 + -6t + 6t Combine like terms: -6t + 6t = 0 15 + 8t = -9 + 0 15 + 8t = -9 Add '-15' to each side of the equation. 15 + -15 + 8t = -9 + -15 Combine like terms: 15 + -15 = 0 0 + 8t = -9 + -15 8t = -9 + -15 Combine like terms: -9 + -15 = -24 8t = -24 Divide each side by '8'. t = -3 Simplifying t = -3
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