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Simplifying -5(t + -2) + -1(t + 2) = 5 Reorder the terms: -5(-2 + t) + -1(t + 2) = 5 (-2 * -5 + t * -5) + -1(t + 2) = 5 (10 + -5t) + -1(t + 2) = 5 Reorder the terms: 10 + -5t + -1(2 + t) = 5 10 + -5t + (2 * -1 + t * -1) = 5 10 + -5t + (-2 + -1t) = 5 Reorder the terms: 10 + -2 + -5t + -1t = 5 Combine like terms: 10 + -2 = 8 8 + -5t + -1t = 5 Combine like terms: -5t + -1t = -6t 8 + -6t = 5 Solving 8 + -6t = 5 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -6t = 5 + -8 Combine like terms: 8 + -8 = 0 0 + -6t = 5 + -8 -6t = 5 + -8 Combine like terms: 5 + -8 = -3 -6t = -3 Divide each side by '-6'. t = 0.5 Simplifying t = 0.5
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