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Simplifying 7(5a + 3b) + -12a + 16b = 0 (5a * 7 + 3b * 7) + -12a + 16b = 0 (35a + 21b) + -12a + 16b = 0 Reorder the terms: 35a + -12a + 21b + 16b = 0 Combine like terms: 35a + -12a = 23a 23a + 21b + 16b = 0 Combine like terms: 21b + 16b = 37b 23a + 37b = 0 Solving 23a + 37b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-37b' to each side of the equation. 23a + 37b + -37b = 0 + -37b Combine like terms: 37b + -37b = 0 23a + 0 = 0 + -37b 23a = 0 + -37b Remove the zero: 23a = -37b Divide each side by '23'. a = -1.608695652b Simplifying a = -1.608695652b
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