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Simplifying -5(t + -3) + -1(t + 6) = 4 Reorder the terms: -5(-3 + t) + -1(t + 6) = 4 (-3 * -5 + t * -5) + -1(t + 6) = 4 (15 + -5t) + -1(t + 6) = 4 Reorder the terms: 15 + -5t + -1(6 + t) = 4 15 + -5t + (6 * -1 + t * -1) = 4 15 + -5t + (-6 + -1t) = 4 Reorder the terms: 15 + -6 + -5t + -1t = 4 Combine like terms: 15 + -6 = 9 9 + -5t + -1t = 4 Combine like terms: -5t + -1t = -6t 9 + -6t = 4 Solving 9 + -6t = 4 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -6t = 4 + -9 Combine like terms: 9 + -9 = 0 0 + -6t = 4 + -9 -6t = 4 + -9 Combine like terms: 4 + -9 = -5 -6t = -5 Divide each side by '-6'. t = 0.8333333333 Simplifying t = 0.8333333333
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