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Simplifying 45 = 6a + (42 + -4a) Remove parenthesis around (42 + -4a) 45 = 6a + 42 + -4a Reorder the terms: 45 = 42 + 6a + -4a Combine like terms: 6a + -4a = 2a 45 = 42 + 2a Solving 45 = 42 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 45 + -2a = 42 + 2a + -2a Combine like terms: 2a + -2a = 0 45 + -2a = 42 + 0 45 + -2a = 42 Add '-45' to each side of the equation. 45 + -45 + -2a = 42 + -45 Combine like terms: 45 + -45 = 0 0 + -2a = 42 + -45 -2a = 42 + -45 Combine like terms: 42 + -45 = -3 -2a = -3 Divide each side by '-2'. a = 1.5 Simplifying a = 1.5
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