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Simplifying -3(t + -4) + -1(t + 1) = 9 Reorder the terms: -3(-4 + t) + -1(t + 1) = 9 (-4 * -3 + t * -3) + -1(t + 1) = 9 (12 + -3t) + -1(t + 1) = 9 Reorder the terms: 12 + -3t + -1(1 + t) = 9 12 + -3t + (1 * -1 + t * -1) = 9 12 + -3t + (-1 + -1t) = 9 Reorder the terms: 12 + -1 + -3t + -1t = 9 Combine like terms: 12 + -1 = 11 11 + -3t + -1t = 9 Combine like terms: -3t + -1t = -4t 11 + -4t = 9 Solving 11 + -4t = 9 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -4t = 9 + -11 Combine like terms: 11 + -11 = 0 0 + -4t = 9 + -11 -4t = 9 + -11 Combine like terms: 9 + -11 = -2 -4t = -2 Divide each side by '-4'. t = 0.5 Simplifying t = 0.5
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