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Simplifying -4(t + -6) + -1(t + 7) = 7 Reorder the terms: -4(-6 + t) + -1(t + 7) = 7 (-6 * -4 + t * -4) + -1(t + 7) = 7 (24 + -4t) + -1(t + 7) = 7 Reorder the terms: 24 + -4t + -1(7 + t) = 7 24 + -4t + (7 * -1 + t * -1) = 7 24 + -4t + (-7 + -1t) = 7 Reorder the terms: 24 + -7 + -4t + -1t = 7 Combine like terms: 24 + -7 = 17 17 + -4t + -1t = 7 Combine like terms: -4t + -1t = -5t 17 + -5t = 7 Solving 17 + -5t = 7 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -5t = 7 + -17 Combine like terms: 17 + -17 = 0 0 + -5t = 7 + -17 -5t = 7 + -17 Combine like terms: 7 + -17 = -10 -5t = -10 Divide each side by '-5'. t = 2 Simplifying t = 2
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