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Simplifying -4(t + -6) + -1(t + 5) = 5 Reorder the terms: -4(-6 + t) + -1(t + 5) = 5 (-6 * -4 + t * -4) + -1(t + 5) = 5 (24 + -4t) + -1(t + 5) = 5 Reorder the terms: 24 + -4t + -1(5 + t) = 5 24 + -4t + (5 * -1 + t * -1) = 5 24 + -4t + (-5 + -1t) = 5 Reorder the terms: 24 + -5 + -4t + -1t = 5 Combine like terms: 24 + -5 = 19 19 + -4t + -1t = 5 Combine like terms: -4t + -1t = -5t 19 + -5t = 5 Solving 19 + -5t = 5 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -5t = 5 + -19 Combine like terms: 19 + -19 = 0 0 + -5t = 5 + -19 -5t = 5 + -19 Combine like terms: 5 + -19 = -14 -5t = -14 Divide each side by '-5'. t = 2.8 Simplifying t = 2.8
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