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Simplifying -6(t + -3) + -1(t + 3) = 4 Reorder the terms: -6(-3 + t) + -1(t + 3) = 4 (-3 * -6 + t * -6) + -1(t + 3) = 4 (18 + -6t) + -1(t + 3) = 4 Reorder the terms: 18 + -6t + -1(3 + t) = 4 18 + -6t + (3 * -1 + t * -1) = 4 18 + -6t + (-3 + -1t) = 4 Reorder the terms: 18 + -3 + -6t + -1t = 4 Combine like terms: 18 + -3 = 15 15 + -6t + -1t = 4 Combine like terms: -6t + -1t = -7t 15 + -7t = 4 Solving 15 + -7t = 4 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -7t = 4 + -15 Combine like terms: 15 + -15 = 0 0 + -7t = 4 + -15 -7t = 4 + -15 Combine like terms: 4 + -15 = -11 -7t = -11 Divide each side by '-7'. t = 1.571428571 Simplifying t = 1.571428571
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