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Simplifying 7a + -7 = 2a + -42 Reorder the terms: -7 + 7a = 2a + -42 Reorder the terms: -7 + 7a = -42 + 2a Solving -7 + 7a = -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 + 7a + -2a = -42 + 2a + -2a Combine like terms: 7a + -2a = 5a -7 + 5a = -42 + 2a + -2a Combine like terms: 2a + -2a = 0 -7 + 5a = -42 + 0 -7 + 5a = -42 Add '7' to each side of the equation. -7 + 7 + 5a = -42 + 7 Combine like terms: -7 + 7 = 0 0 + 5a = -42 + 7 5a = -42 + 7 Combine like terms: -42 + 7 = -35 5a = -35 Divide each side by '5'. a = -7 Simplifying a = -7
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