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Simplifying 4(t + 9) + 2t = -8 + t Reorder the terms: 4(9 + t) + 2t = -8 + t (9 * 4 + t * 4) + 2t = -8 + t (36 + 4t) + 2t = -8 + t Combine like terms: 4t + 2t = 6t 36 + 6t = -8 + t Solving 36 + 6t = -8 + t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. 36 + 6t + -1t = -8 + t + -1t Combine like terms: 6t + -1t = 5t 36 + 5t = -8 + t + -1t Combine like terms: t + -1t = 0 36 + 5t = -8 + 0 36 + 5t = -8 Add '-36' to each side of the equation. 36 + -36 + 5t = -8 + -36 Combine like terms: 36 + -36 = 0 0 + 5t = -8 + -36 5t = -8 + -36 Combine like terms: -8 + -36 = -44 5t = -44 Divide each side by '5'. t = -8.8 Simplifying t = -8.8
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