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Simplifying 5(a + b + 1) + -7a + 13b + -3 = 0 Reorder the terms: 5(1 + a + b) + -7a + 13b + -3 = 0 (1 * 5 + a * 5 + b * 5) + -7a + 13b + -3 = 0 (5 + 5a + 5b) + -7a + 13b + -3 = 0 Reorder the terms: 5 + -3 + 5a + -7a + 5b + 13b = 0 Combine like terms: 5 + -3 = 2 2 + 5a + -7a + 5b + 13b = 0 Combine like terms: 5a + -7a = -2a 2 + -2a + 5b + 13b = 0 Combine like terms: 5b + 13b = 18b 2 + -2a + 18b = 0 Solving 2 + -2a + 18b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2a + -2 + 18b = 0 + -2 Reorder the terms: 2 + -2 + -2a + 18b = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -2a + 18b = 0 + -2 -2a + 18b = 0 + -2 Combine like terms: 0 + -2 = -2 -2a + 18b = -2 Add '-18b' to each side of the equation. -2a + 18b + -18b = -2 + -18b Combine like terms: 18b + -18b = 0 -2a + 0 = -2 + -18b -2a = -2 + -18b Divide each side by '-2'. a = 1 + 9b Simplifying a = 1 + 9b
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