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Simplifying -7(t + -5) + -1(t + 4) = 6 Reorder the terms: -7(-5 + t) + -1(t + 4) = 6 (-5 * -7 + t * -7) + -1(t + 4) = 6 (35 + -7t) + -1(t + 4) = 6 Reorder the terms: 35 + -7t + -1(4 + t) = 6 35 + -7t + (4 * -1 + t * -1) = 6 35 + -7t + (-4 + -1t) = 6 Reorder the terms: 35 + -4 + -7t + -1t = 6 Combine like terms: 35 + -4 = 31 31 + -7t + -1t = 6 Combine like terms: -7t + -1t = -8t 31 + -8t = 6 Solving 31 + -8t = 6 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + -8t = 6 + -31 Combine like terms: 31 + -31 = 0 0 + -8t = 6 + -31 -8t = 6 + -31 Combine like terms: 6 + -31 = -25 -8t = -25 Divide each side by '-8'. t = 3.125 Simplifying t = 3.125
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