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Simplifying 4a + -7 = 2a + 42 Reorder the terms: -7 + 4a = 2a + 42 Reorder the terms: -7 + 4a = 42 + 2a Solving -7 + 4a = 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. -7 + 4a + -2a = 42 + 2a + -2a Combine like terms: 4a + -2a = 2a -7 + 2a = 42 + 2a + -2a Combine like terms: 2a + -2a = 0 -7 + 2a = 42 + 0 -7 + 2a = 42 Add '7' to each side of the equation. -7 + 7 + 2a = 42 + 7 Combine like terms: -7 + 7 = 0 0 + 2a = 42 + 7 2a = 42 + 7 Combine like terms: 42 + 7 = 49 2a = 49 Divide each side by '2'. a = 24.5 Simplifying a = 24.5
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