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Simplifying -3(t + -6) + -1(t + 5) = 9 Reorder the terms: -3(-6 + t) + -1(t + 5) = 9 (-6 * -3 + t * -3) + -1(t + 5) = 9 (18 + -3t) + -1(t + 5) = 9 Reorder the terms: 18 + -3t + -1(5 + t) = 9 18 + -3t + (5 * -1 + t * -1) = 9 18 + -3t + (-5 + -1t) = 9 Reorder the terms: 18 + -5 + -3t + -1t = 9 Combine like terms: 18 + -5 = 13 13 + -3t + -1t = 9 Combine like terms: -3t + -1t = -4t 13 + -4t = 9 Solving 13 + -4t = 9 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -4t = 9 + -13 Combine like terms: 13 + -13 = 0 0 + -4t = 9 + -13 -4t = 9 + -13 Combine like terms: 9 + -13 = -4 -4t = -4 Divide each side by '-4'. t = 1 Simplifying t = 1
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