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Simplifying -4(t + -6) + -1(t + 4) = 11 Reorder the terms: -4(-6 + t) + -1(t + 4) = 11 (-6 * -4 + t * -4) + -1(t + 4) = 11 (24 + -4t) + -1(t + 4) = 11 Reorder the terms: 24 + -4t + -1(4 + t) = 11 24 + -4t + (4 * -1 + t * -1) = 11 24 + -4t + (-4 + -1t) = 11 Reorder the terms: 24 + -4 + -4t + -1t = 11 Combine like terms: 24 + -4 = 20 20 + -4t + -1t = 11 Combine like terms: -4t + -1t = -5t 20 + -5t = 11 Solving 20 + -5t = 11 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -5t = 11 + -20 Combine like terms: 20 + -20 = 0 0 + -5t = 11 + -20 -5t = 11 + -20 Combine like terms: 11 + -20 = -9 -5t = -9 Divide each side by '-5'. t = 1.8 Simplifying t = 1.8
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