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Simplifying 8t + 2 = 2(t + -5) + -1t Reorder the terms: 2 + 8t = 2(t + -5) + -1t Reorder the terms: 2 + 8t = 2(-5 + t) + -1t 2 + 8t = (-5 * 2 + t * 2) + -1t 2 + 8t = (-10 + 2t) + -1t Combine like terms: 2t + -1t = 1t 2 + 8t = -10 + 1t Solving 2 + 8t = -10 + 1t 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. 2 + 8t + -1t = -10 + 1t + -1t Combine like terms: 8t + -1t = 7t 2 + 7t = -10 + 1t + -1t Combine like terms: 1t + -1t = 0 2 + 7t = -10 + 0 2 + 7t = -10 Add '-2' to each side of the equation. 2 + -2 + 7t = -10 + -2 Combine like terms: 2 + -2 = 0 0 + 7t = -10 + -2 7t = -10 + -2 Combine like terms: -10 + -2 = -12 7t = -12 Divide each side by '7'. t = -1.714285714 Simplifying t = -1.714285714
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