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Simplifying -4(t + -6) + -1(t + 2) = 4 Reorder the terms: -4(-6 + t) + -1(t + 2) = 4 (-6 * -4 + t * -4) + -1(t + 2) = 4 (24 + -4t) + -1(t + 2) = 4 Reorder the terms: 24 + -4t + -1(2 + t) = 4 24 + -4t + (2 * -1 + t * -1) = 4 24 + -4t + (-2 + -1t) = 4 Reorder the terms: 24 + -2 + -4t + -1t = 4 Combine like terms: 24 + -2 = 22 22 + -4t + -1t = 4 Combine like terms: -4t + -1t = -5t 22 + -5t = 4 Solving 22 + -5t = 4 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -5t = 4 + -22 Combine like terms: 22 + -22 = 0 0 + -5t = 4 + -22 -5t = 4 + -22 Combine like terms: 4 + -22 = -18 -5t = -18 Divide each side by '-5'. t = 3.6 Simplifying t = 3.6
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