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Simplifying -4(t + -4) + -1(t + 5) = 10 Reorder the terms: -4(-4 + t) + -1(t + 5) = 10 (-4 * -4 + t * -4) + -1(t + 5) = 10 (16 + -4t) + -1(t + 5) = 10 Reorder the terms: 16 + -4t + -1(5 + t) = 10 16 + -4t + (5 * -1 + t * -1) = 10 16 + -4t + (-5 + -1t) = 10 Reorder the terms: 16 + -5 + -4t + -1t = 10 Combine like terms: 16 + -5 = 11 11 + -4t + -1t = 10 Combine like terms: -4t + -1t = -5t 11 + -5t = 10 Solving 11 + -5t = 10 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -5t = 10 + -11 Combine like terms: 11 + -11 = 0 0 + -5t = 10 + -11 -5t = 10 + -11 Combine like terms: 10 + -11 = -1 -5t = -1 Divide each side by '-5'. t = 0.2 Simplifying t = 0.2
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