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Simplifying -5(t + -7) + -1(t + 8) = 4 Reorder the terms: -5(-7 + t) + -1(t + 8) = 4 (-7 * -5 + t * -5) + -1(t + 8) = 4 (35 + -5t) + -1(t + 8) = 4 Reorder the terms: 35 + -5t + -1(8 + t) = 4 35 + -5t + (8 * -1 + t * -1) = 4 35 + -5t + (-8 + -1t) = 4 Reorder the terms: 35 + -8 + -5t + -1t = 4 Combine like terms: 35 + -8 = 27 27 + -5t + -1t = 4 Combine like terms: -5t + -1t = -6t 27 + -6t = 4 Solving 27 + -6t = 4 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + -6t = 4 + -27 Combine like terms: 27 + -27 = 0 0 + -6t = 4 + -27 -6t = 4 + -27 Combine like terms: 4 + -27 = -23 -6t = -23 Divide each side by '-6'. t = 3.833333333 Simplifying t = 3.833333333
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