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Simplifying -8(t + -6) + -1(t + 4) = 6 Reorder the terms: -8(-6 + t) + -1(t + 4) = 6 (-6 * -8 + t * -8) + -1(t + 4) = 6 (48 + -8t) + -1(t + 4) = 6 Reorder the terms: 48 + -8t + -1(4 + t) = 6 48 + -8t + (4 * -1 + t * -1) = 6 48 + -8t + (-4 + -1t) = 6 Reorder the terms: 48 + -4 + -8t + -1t = 6 Combine like terms: 48 + -4 = 44 44 + -8t + -1t = 6 Combine like terms: -8t + -1t = -9t 44 + -9t = 6 Solving 44 + -9t = 6 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-44' to each side of the equation. 44 + -44 + -9t = 6 + -44 Combine like terms: 44 + -44 = 0 0 + -9t = 6 + -44 -9t = 6 + -44 Combine like terms: 6 + -44 = -38 -9t = -38 Divide each side by '-9'. t = 4.222222222 Simplifying t = 4.222222222
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