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Simplifying -4(t + -6) + -1(t + 9) = 11 Reorder the terms: -4(-6 + t) + -1(t + 9) = 11 (-6 * -4 + t * -4) + -1(t + 9) = 11 (24 + -4t) + -1(t + 9) = 11 Reorder the terms: 24 + -4t + -1(9 + t) = 11 24 + -4t + (9 * -1 + t * -1) = 11 24 + -4t + (-9 + -1t) = 11 Reorder the terms: 24 + -9 + -4t + -1t = 11 Combine like terms: 24 + -9 = 15 15 + -4t + -1t = 11 Combine like terms: -4t + -1t = -5t 15 + -5t = 11 Solving 15 + -5t = 11 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -5t = 11 + -15 Combine like terms: 15 + -15 = 0 0 + -5t = 11 + -15 -5t = 11 + -15 Combine like terms: 11 + -15 = -4 -5t = -4 Divide each side by '-5'. t = 0.8 Simplifying t = 0.8
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