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Simplifying -6(t + -3) + -1(t + 2) = 11 Reorder the terms: -6(-3 + t) + -1(t + 2) = 11 (-3 * -6 + t * -6) + -1(t + 2) = 11 (18 + -6t) + -1(t + 2) = 11 Reorder the terms: 18 + -6t + -1(2 + t) = 11 18 + -6t + (2 * -1 + t * -1) = 11 18 + -6t + (-2 + -1t) = 11 Reorder the terms: 18 + -2 + -6t + -1t = 11 Combine like terms: 18 + -2 = 16 16 + -6t + -1t = 11 Combine like terms: -6t + -1t = -7t 16 + -7t = 11 Solving 16 + -7t = 11 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -7t = 11 + -16 Combine like terms: 16 + -16 = 0 0 + -7t = 11 + -16 -7t = 11 + -16 Combine like terms: 11 + -16 = -5 -7t = -5 Divide each side by '-7'. t = 0.7142857143 Simplifying t = 0.7142857143
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