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Simplifying 7a + -42 = 8a + -40 Reorder the terms: -42 + 7a = 8a + -40 Reorder the terms: -42 + 7a = -40 + 8a Solving -42 + 7a = -40 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. -42 + 7a + -8a = -40 + 8a + -8a Combine like terms: 7a + -8a = -1a -42 + -1a = -40 + 8a + -8a Combine like terms: 8a + -8a = 0 -42 + -1a = -40 + 0 -42 + -1a = -40 Add '42' to each side of the equation. -42 + 42 + -1a = -40 + 42 Combine like terms: -42 + 42 = 0 0 + -1a = -40 + 42 -1a = -40 + 42 Combine like terms: -40 + 42 = 2 -1a = 2 Divide each side by '-1'. a = -2 Simplifying a = -2
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