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Simplifying -5(t + -4) + -1(t + 7) = 6 Reorder the terms: -5(-4 + t) + -1(t + 7) = 6 (-4 * -5 + t * -5) + -1(t + 7) = 6 (20 + -5t) + -1(t + 7) = 6 Reorder the terms: 20 + -5t + -1(7 + t) = 6 20 + -5t + (7 * -1 + t * -1) = 6 20 + -5t + (-7 + -1t) = 6 Reorder the terms: 20 + -7 + -5t + -1t = 6 Combine like terms: 20 + -7 = 13 13 + -5t + -1t = 6 Combine like terms: -5t + -1t = -6t 13 + -6t = 6 Solving 13 + -6t = 6 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -6t = 6 + -13 Combine like terms: 13 + -13 = 0 0 + -6t = 6 + -13 -6t = 6 + -13 Combine like terms: 6 + -13 = -7 -6t = -7 Divide each side by '-6'. t = 1.166666667 Simplifying t = 1.166666667
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