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Simplifying 7(t + 4) + 8 = 2(t + -5) Reorder the terms: 7(4 + t) + 8 = 2(t + -5) (4 * 7 + t * 7) + 8 = 2(t + -5) (28 + 7t) + 8 = 2(t + -5) Reorder the terms: 28 + 8 + 7t = 2(t + -5) Combine like terms: 28 + 8 = 36 36 + 7t = 2(t + -5) Reorder the terms: 36 + 7t = 2(-5 + t) 36 + 7t = (-5 * 2 + t * 2) 36 + 7t = (-10 + 2t) Solving 36 + 7t = -10 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. 36 + 7t + -2t = -10 + 2t + -2t Combine like terms: 7t + -2t = 5t 36 + 5t = -10 + 2t + -2t Combine like terms: 2t + -2t = 0 36 + 5t = -10 + 0 36 + 5t = -10 Add '-36' to each side of the equation. 36 + -36 + 5t = -10 + -36 Combine like terms: 36 + -36 = 0 0 + 5t = -10 + -36 5t = -10 + -36 Combine like terms: -10 + -36 = -46 5t = -46 Divide each side by '5'. t = -9.2 Simplifying t = -9.2
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