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Simplifying -4(t + -8) + -1(t + 7) = t Reorder the terms: -4(-8 + t) + -1(t + 7) = t (-8 * -4 + t * -4) + -1(t + 7) = t (32 + -4t) + -1(t + 7) = t Reorder the terms: 32 + -4t + -1(7 + t) = t 32 + -4t + (7 * -1 + t * -1) = t 32 + -4t + (-7 + -1t) = t Reorder the terms: 32 + -7 + -4t + -1t = t Combine like terms: 32 + -7 = 25 25 + -4t + -1t = t Combine like terms: -4t + -1t = -5t 25 + -5t = t Solving 25 + -5t = t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. 25 + -5t + -1t = t + -1t Combine like terms: -5t + -1t = -6t 25 + -6t = t + -1t Combine like terms: t + -1t = 0 25 + -6t = 0 Add '-25' to each side of the equation. 25 + -25 + -6t = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -6t = 0 + -25 -6t = 0 + -25 Combine like terms: 0 + -25 = -25 -6t = -25 Divide each side by '-6'. t = 4.166666667 Simplifying t = 4.166666667
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