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Simplifying 7(t + -7) + 2t = -5 + t Reorder the terms: 7(-7 + t) + 2t = -5 + t (-7 * 7 + t * 7) + 2t = -5 + t (-49 + 7t) + 2t = -5 + t Combine like terms: 7t + 2t = 9t -49 + 9t = -5 + t Solving -49 + 9t = -5 + 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. -49 + 9t + -1t = -5 + t + -1t Combine like terms: 9t + -1t = 8t -49 + 8t = -5 + t + -1t Combine like terms: t + -1t = 0 -49 + 8t = -5 + 0 -49 + 8t = -5 Add '49' to each side of the equation. -49 + 49 + 8t = -5 + 49 Combine like terms: -49 + 49 = 0 0 + 8t = -5 + 49 8t = -5 + 49 Combine like terms: -5 + 49 = 44 8t = 44 Divide each side by '8'. t = 5.5 Simplifying t = 5.5
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