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Simplifying t + 9 = t + -3(2t + 5) Reorder the terms: 9 + t = t + -3(2t + 5) Reorder the terms: 9 + t = t + -3(5 + 2t) 9 + t = t + (5 * -3 + 2t * -3) 9 + t = t + (-15 + -6t) Reorder the terms: 9 + t = -15 + t + -6t Combine like terms: t + -6t = -5t 9 + t = -15 + -5t Solving 9 + t = -15 + -5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '5t' to each side of the equation. 9 + t + 5t = -15 + -5t + 5t Combine like terms: t + 5t = 6t 9 + 6t = -15 + -5t + 5t Combine like terms: -5t + 5t = 0 9 + 6t = -15 + 0 9 + 6t = -15 Add '-9' to each side of the equation. 9 + -9 + 6t = -15 + -9 Combine like terms: 9 + -9 = 0 0 + 6t = -15 + -9 6t = -15 + -9 Combine like terms: -15 + -9 = -24 6t = -24 Divide each side by '6'. t = -4 Simplifying t = -4
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