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Simplifying -5(t + -6) + -1(t + -1) = 7 Reorder the terms: -5(-6 + t) + -1(t + -1) = 7 (-6 * -5 + t * -5) + -1(t + -1) = 7 (30 + -5t) + -1(t + -1) = 7 Reorder the terms: 30 + -5t + -1(-1 + t) = 7 30 + -5t + (-1 * -1 + t * -1) = 7 30 + -5t + (1 + -1t) = 7 Reorder the terms: 30 + 1 + -5t + -1t = 7 Combine like terms: 30 + 1 = 31 31 + -5t + -1t = 7 Combine like terms: -5t + -1t = -6t 31 + -6t = 7 Solving 31 + -6t = 7 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + -6t = 7 + -31 Combine like terms: 31 + -31 = 0 0 + -6t = 7 + -31 -6t = 7 + -31 Combine like terms: 7 + -31 = -24 -6t = -24 Divide each side by '-6'. t = 4 Simplifying t = 4
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