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Simplifying -6(t + -5) + -1(t + 7) = 4 Reorder the terms: -6(-5 + t) + -1(t + 7) = 4 (-5 * -6 + t * -6) + -1(t + 7) = 4 (30 + -6t) + -1(t + 7) = 4 Reorder the terms: 30 + -6t + -1(7 + t) = 4 30 + -6t + (7 * -1 + t * -1) = 4 30 + -6t + (-7 + -1t) = 4 Reorder the terms: 30 + -7 + -6t + -1t = 4 Combine like terms: 30 + -7 = 23 23 + -6t + -1t = 4 Combine like terms: -6t + -1t = -7t 23 + -7t = 4 Solving 23 + -7t = 4 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + -7t = 4 + -23 Combine like terms: 23 + -23 = 0 0 + -7t = 4 + -23 -7t = 4 + -23 Combine like terms: 4 + -23 = -19 -7t = -19 Divide each side by '-7'. t = 2.714285714 Simplifying t = 2.714285714
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