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Simplifying -7(t + -9) + 2t = -8 + t Reorder the terms: -7(-9 + t) + 2t = -8 + t (-9 * -7 + t * -7) + 2t = -8 + t (63 + -7t) + 2t = -8 + t Combine like terms: -7t + 2t = -5t 63 + -5t = -8 + t Solving 63 + -5t = -8 + 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. 63 + -5t + -1t = -8 + t + -1t Combine like terms: -5t + -1t = -6t 63 + -6t = -8 + t + -1t Combine like terms: t + -1t = 0 63 + -6t = -8 + 0 63 + -6t = -8 Add '-63' to each side of the equation. 63 + -63 + -6t = -8 + -63 Combine like terms: 63 + -63 = 0 0 + -6t = -8 + -63 -6t = -8 + -63 Combine like terms: -8 + -63 = -71 -6t = -71 Divide each side by '-6'. t = 11.83333333 Simplifying t = 11.83333333
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