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Simplifying -6(t + -2) + -1(t + 4) = 10 Reorder the terms: -6(-2 + t) + -1(t + 4) = 10 (-2 * -6 + t * -6) + -1(t + 4) = 10 (12 + -6t) + -1(t + 4) = 10 Reorder the terms: 12 + -6t + -1(4 + t) = 10 12 + -6t + (4 * -1 + t * -1) = 10 12 + -6t + (-4 + -1t) = 10 Reorder the terms: 12 + -4 + -6t + -1t = 10 Combine like terms: 12 + -4 = 8 8 + -6t + -1t = 10 Combine like terms: -6t + -1t = -7t 8 + -7t = 10 Solving 8 + -7t = 10 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -7t = 10 + -8 Combine like terms: 8 + -8 = 0 0 + -7t = 10 + -8 -7t = 10 + -8 Combine like terms: 10 + -8 = 2 -7t = 2 Divide each side by '-7'. t = -0.2857142857 Simplifying t = -0.2857142857
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