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Simplifying -4(t + -3) + -1(t + 4) = 9 Reorder the terms: -4(-3 + t) + -1(t + 4) = 9 (-3 * -4 + t * -4) + -1(t + 4) = 9 (12 + -4t) + -1(t + 4) = 9 Reorder the terms: 12 + -4t + -1(4 + t) = 9 12 + -4t + (4 * -1 + t * -1) = 9 12 + -4t + (-4 + -1t) = 9 Reorder the terms: 12 + -4 + -4t + -1t = 9 Combine like terms: 12 + -4 = 8 8 + -4t + -1t = 9 Combine like terms: -4t + -1t = -5t 8 + -5t = 9 Solving 8 + -5t = 9 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -5t = 9 + -8 Combine like terms: 8 + -8 = 0 0 + -5t = 9 + -8 -5t = 9 + -8 Combine like terms: 9 + -8 = 1 -5t = 1 Divide each side by '-5'. t = -0.2 Simplifying t = -0.2
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