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Simplifying -3(t + -6) + -1(t + 4) = 9 Reorder the terms: -3(-6 + t) + -1(t + 4) = 9 (-6 * -3 + t * -3) + -1(t + 4) = 9 (18 + -3t) + -1(t + 4) = 9 Reorder the terms: 18 + -3t + -1(4 + t) = 9 18 + -3t + (4 * -1 + t * -1) = 9 18 + -3t + (-4 + -1t) = 9 Reorder the terms: 18 + -4 + -3t + -1t = 9 Combine like terms: 18 + -4 = 14 14 + -3t + -1t = 9 Combine like terms: -3t + -1t = -4t 14 + -4t = 9 Solving 14 + -4t = 9 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -4t = 9 + -14 Combine like terms: 14 + -14 = 0 0 + -4t = 9 + -14 -4t = 9 + -14 Combine like terms: 9 + -14 = -5 -4t = -5 Divide each side by '-4'. t = 1.25 Simplifying t = 1.25
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