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Simplifying -4(t + -9) + -1(t + -7) = 3 Reorder the terms: -4(-9 + t) + -1(t + -7) = 3 (-9 * -4 + t * -4) + -1(t + -7) = 3 (36 + -4t) + -1(t + -7) = 3 Reorder the terms: 36 + -4t + -1(-7 + t) = 3 36 + -4t + (-7 * -1 + t * -1) = 3 36 + -4t + (7 + -1t) = 3 Reorder the terms: 36 + 7 + -4t + -1t = 3 Combine like terms: 36 + 7 = 43 43 + -4t + -1t = 3 Combine like terms: -4t + -1t = -5t 43 + -5t = 3 Solving 43 + -5t = 3 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-43' to each side of the equation. 43 + -43 + -5t = 3 + -43 Combine like terms: 43 + -43 = 0 0 + -5t = 3 + -43 -5t = 3 + -43 Combine like terms: 3 + -43 = -40 -5t = -40 Divide each side by '-5'. t = 8 Simplifying t = 8
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