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Simplifying 6a + -3b = 6(7) + -3(2) Multiply 6 * 7 6a + -3b = 42 + -3(2) Multiply -3 * 2 6a + -3b = 42 + -6 Combine like terms: 42 + -6 = 36 6a + -3b = 36 Solving 6a + -3b = 36 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3b' to each side of the equation. 6a + -3b + 3b = 36 + 3b Combine like terms: -3b + 3b = 0 6a + 0 = 36 + 3b 6a = 36 + 3b Divide each side by '6'. a = 6 + 0.5b Simplifying a = 6 + 0.5b
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