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Simplifying -6(t + -4) + -1(t + 1) = 10 Reorder the terms: -6(-4 + t) + -1(t + 1) = 10 (-4 * -6 + t * -6) + -1(t + 1) = 10 (24 + -6t) + -1(t + 1) = 10 Reorder the terms: 24 + -6t + -1(1 + t) = 10 24 + -6t + (1 * -1 + t * -1) = 10 24 + -6t + (-1 + -1t) = 10 Reorder the terms: 24 + -1 + -6t + -1t = 10 Combine like terms: 24 + -1 = 23 23 + -6t + -1t = 10 Combine like terms: -6t + -1t = -7t 23 + -7t = 10 Solving 23 + -7t = 10 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 = 10 + -23 Combine like terms: 23 + -23 = 0 0 + -7t = 10 + -23 -7t = 10 + -23 Combine like terms: 10 + -23 = -13 -7t = -13 Divide each side by '-7'. t = 1.857142857 Simplifying t = 1.857142857
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