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Simplifying -2(t + -1) + t = 7t + -7 Reorder the terms: -2(-1 + t) + t = 7t + -7 (-1 * -2 + t * -2) + t = 7t + -7 (2 + -2t) + t = 7t + -7 Combine like terms: -2t + t = -1t 2 + -1t = 7t + -7 Reorder the terms: 2 + -1t = -7 + 7t Solving 2 + -1t = -7 + 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. 2 + -1t + -7t = -7 + 7t + -7t Combine like terms: -1t + -7t = -8t 2 + -8t = -7 + 7t + -7t Combine like terms: 7t + -7t = 0 2 + -8t = -7 + 0 2 + -8t = -7 Add '-2' to each side of the equation. 2 + -2 + -8t = -7 + -2 Combine like terms: 2 + -2 = 0 0 + -8t = -7 + -2 -8t = -7 + -2 Combine like terms: -7 + -2 = -9 -8t = -9 Divide each side by '-8'. t = 1.125 Simplifying t = 1.125
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