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Simplifying -6(t + -5) + -1(t + 4) = 10 Reorder the terms: -6(-5 + t) + -1(t + 4) = 10 (-5 * -6 + t * -6) + -1(t + 4) = 10 (30 + -6t) + -1(t + 4) = 10 Reorder the terms: 30 + -6t + -1(4 + t) = 10 30 + -6t + (4 * -1 + t * -1) = 10 30 + -6t + (-4 + -1t) = 10 Reorder the terms: 30 + -4 + -6t + -1t = 10 Combine like terms: 30 + -4 = 26 26 + -6t + -1t = 10 Combine like terms: -6t + -1t = -7t 26 + -7t = 10 Solving 26 + -7t = 10 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + -7t = 10 + -26 Combine like terms: 26 + -26 = 0 0 + -7t = 10 + -26 -7t = 10 + -26 Combine like terms: 10 + -26 = -16 -7t = -16 Divide each side by '-7'. t = 2.285714286 Simplifying t = 2.285714286
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