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Simplifying -4(t + -3) + -1(t + 7) = 9 Reorder the terms: -4(-3 + t) + -1(t + 7) = 9 (-3 * -4 + t * -4) + -1(t + 7) = 9 (12 + -4t) + -1(t + 7) = 9 Reorder the terms: 12 + -4t + -1(7 + t) = 9 12 + -4t + (7 * -1 + t * -1) = 9 12 + -4t + (-7 + -1t) = 9 Reorder the terms: 12 + -7 + -4t + -1t = 9 Combine like terms: 12 + -7 = 5 5 + -4t + -1t = 9 Combine like terms: -4t + -1t = -5t 5 + -5t = 9 Solving 5 + -5t = 9 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -5t = 9 + -5 Combine like terms: 5 + -5 = 0 0 + -5t = 9 + -5 -5t = 9 + -5 Combine like terms: 9 + -5 = 4 -5t = 4 Divide each side by '-5'. t = -0.8 Simplifying t = -0.8
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