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Simplifying -6(t + -4) + -1(t + 4) = 11 Reorder the terms: -6(-4 + t) + -1(t + 4) = 11 (-4 * -6 + t * -6) + -1(t + 4) = 11 (24 + -6t) + -1(t + 4) = 11 Reorder the terms: 24 + -6t + -1(4 + t) = 11 24 + -6t + (4 * -1 + t * -1) = 11 24 + -6t + (-4 + -1t) = 11 Reorder the terms: 24 + -4 + -6t + -1t = 11 Combine like terms: 24 + -4 = 20 20 + -6t + -1t = 11 Combine like terms: -6t + -1t = -7t 20 + -7t = 11 Solving 20 + -7t = 11 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -7t = 11 + -20 Combine like terms: 20 + -20 = 0 0 + -7t = 11 + -20 -7t = 11 + -20 Combine like terms: 11 + -20 = -9 -7t = -9 Divide each side by '-7'. t = 1.285714286 Simplifying t = 1.285714286
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