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Simplifying -4(t + -2) + -1(t + 9) = 5 Reorder the terms: -4(-2 + t) + -1(t + 9) = 5 (-2 * -4 + t * -4) + -1(t + 9) = 5 (8 + -4t) + -1(t + 9) = 5 Reorder the terms: 8 + -4t + -1(9 + t) = 5 8 + -4t + (9 * -1 + t * -1) = 5 8 + -4t + (-9 + -1t) = 5 Reorder the terms: 8 + -9 + -4t + -1t = 5 Combine like terms: 8 + -9 = -1 -1 + -4t + -1t = 5 Combine like terms: -4t + -1t = -5t -1 + -5t = 5 Solving -1 + -5t = 5 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -5t = 5 + 1 Combine like terms: -1 + 1 = 0 0 + -5t = 5 + 1 -5t = 5 + 1 Combine like terms: 5 + 1 = 6 -5t = 6 Divide each side by '-5'. t = -1.2 Simplifying t = -1.2
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