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Simplifying 6a + -3b = 7a + -10b Solving 6a + -3b = 7a + -10b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. 6a + -7a + -3b = 7a + -7a + -10b Combine like terms: 6a + -7a = -1a -1a + -3b = 7a + -7a + -10b Combine like terms: 7a + -7a = 0 -1a + -3b = 0 + -10b -1a + -3b = -10b Add '3b' to each side of the equation. -1a + -3b + 3b = -10b + 3b Combine like terms: -3b + 3b = 0 -1a + 0 = -10b + 3b -1a = -10b + 3b Combine like terms: -10b + 3b = -7b -1a = -7b Divide each side by '-1'. a = 7b Simplifying a = 7b
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