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Simplifying 5(a + b) = 7t + -13 (a * 5 + b * 5) = 7t + -13 (5a + 5b) = 7t + -13 Reorder the terms: 5a + 5b = -13 + 7t Solving 5a + 5b = -13 + 7t Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5b' to each side of the equation. 5a + 5b + -5b = -13 + -5b + 7t Combine like terms: 5b + -5b = 0 5a + 0 = -13 + -5b + 7t 5a = -13 + -5b + 7t Divide each side by '5'. a = -2.6 + -1b + 1.4t Simplifying a = -2.6 + -1b + 1.4t
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