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Simplifying -6(t + -3) + -1(t + 1) = 7 Reorder the terms: -6(-3 + t) + -1(t + 1) = 7 (-3 * -6 + t * -6) + -1(t + 1) = 7 (18 + -6t) + -1(t + 1) = 7 Reorder the terms: 18 + -6t + -1(1 + t) = 7 18 + -6t + (1 * -1 + t * -1) = 7 18 + -6t + (-1 + -1t) = 7 Reorder the terms: 18 + -1 + -6t + -1t = 7 Combine like terms: 18 + -1 = 17 17 + -6t + -1t = 7 Combine like terms: -6t + -1t = -7t 17 + -7t = 7 Solving 17 + -7t = 7 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -7t = 7 + -17 Combine like terms: 17 + -17 = 0 0 + -7t = 7 + -17 -7t = 7 + -17 Combine like terms: 7 + -17 = -10 -7t = -10 Divide each side by '-7'. t = 1.428571429 Simplifying t = 1.428571429
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