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Simplifying a + -42 = -4a + -7 Reorder the terms: -42 + a = -4a + -7 Reorder the terms: -42 + a = -7 + -4a Solving -42 + a = -7 + -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. -42 + a + 4a = -7 + -4a + 4a Combine like terms: a + 4a = 5a -42 + 5a = -7 + -4a + 4a Combine like terms: -4a + 4a = 0 -42 + 5a = -7 + 0 -42 + 5a = -7 Add '42' to each side of the equation. -42 + 42 + 5a = -7 + 42 Combine like terms: -42 + 42 = 0 0 + 5a = -7 + 42 5a = -7 + 42 Combine like terms: -7 + 42 = 35 5a = 35 Divide each side by '5'. a = 7 Simplifying a = 7
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