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Simplifying 8t + -6(-2 + 7t) = 9 + t + -11 8t + (-2 * -6 + 7t * -6) = 9 + t + -11 8t + (12 + -42t) = 9 + t + -11 Reorder the terms: 12 + 8t + -42t = 9 + t + -11 Combine like terms: 8t + -42t = -34t 12 + -34t = 9 + t + -11 Reorder the terms: 12 + -34t = 9 + -11 + t Combine like terms: 9 + -11 = -2 12 + -34t = -2 + t Solving 12 + -34t = -2 + 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. 12 + -34t + -1t = -2 + t + -1t Combine like terms: -34t + -1t = -35t 12 + -35t = -2 + t + -1t Combine like terms: t + -1t = 0 12 + -35t = -2 + 0 12 + -35t = -2 Add '-12' to each side of the equation. 12 + -12 + -35t = -2 + -12 Combine like terms: 12 + -12 = 0 0 + -35t = -2 + -12 -35t = -2 + -12 Combine like terms: -2 + -12 = -14 -35t = -14 Divide each side by '-35'. t = 0.4 Simplifying t = 0.4
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