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