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Simplifying -6(t + -7) + -1(t + 6) = 8 Reorder the terms: -6(-7 + t) + -1(t + 6) = 8 (-7 * -6 + t * -6) + -1(t + 6) = 8 (42 + -6t) + -1(t + 6) = 8 Reorder the terms: 42 + -6t + -1(6 + t) = 8 42 + -6t + (6 * -1 + t * -1) = 8 42 + -6t + (-6 + -1t) = 8 Reorder the terms: 42 + -6 + -6t + -1t = 8 Combine like terms: 42 + -6 = 36 36 + -6t + -1t = 8 Combine like terms: -6t + -1t = -7t 36 + -7t = 8 Solving 36 + -7t = 8 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + -7t = 8 + -36 Combine like terms: 36 + -36 = 0 0 + -7t = 8 + -36 -7t = 8 + -36 Combine like terms: 8 + -36 = -28 -7t = -28 Divide each side by '-7'. t = 4 Simplifying t = 4
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