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Simplifying -4(t + -5) + -1(t + 2) = 10 Reorder the terms: -4(-5 + t) + -1(t + 2) = 10 (-5 * -4 + t * -4) + -1(t + 2) = 10 (20 + -4t) + -1(t + 2) = 10 Reorder the terms: 20 + -4t + -1(2 + t) = 10 20 + -4t + (2 * -1 + t * -1) = 10 20 + -4t + (-2 + -1t) = 10 Reorder the terms: 20 + -2 + -4t + -1t = 10 Combine like terms: 20 + -2 = 18 18 + -4t + -1t = 10 Combine like terms: -4t + -1t = -5t 18 + -5t = 10 Solving 18 + -5t = 10 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -5t = 10 + -18 Combine like terms: 18 + -18 = 0 0 + -5t = 10 + -18 -5t = 10 + -18 Combine like terms: 10 + -18 = -8 -5t = -8 Divide each side by '-5'. t = 1.6 Simplifying t = 1.6
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