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Simplifying -8(t + 1) + 2t = 7 + t Reorder the terms: -8(1 + t) + 2t = 7 + t (1 * -8 + t * -8) + 2t = 7 + t (-8 + -8t) + 2t = 7 + t Combine like terms: -8t + 2t = -6t -8 + -6t = 7 + t Solving -8 + -6t = 7 + 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. -8 + -6t + -1t = 7 + t + -1t Combine like terms: -6t + -1t = -7t -8 + -7t = 7 + t + -1t Combine like terms: t + -1t = 0 -8 + -7t = 7 + 0 -8 + -7t = 7 Add '8' to each side of the equation. -8 + 8 + -7t = 7 + 8 Combine like terms: -8 + 8 = 0 0 + -7t = 7 + 8 -7t = 7 + 8 Combine like terms: 7 + 8 = 15 -7t = 15 Divide each side by '-7'. t = -2.142857143 Simplifying t = -2.142857143
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