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Simplifying a + -2 = 7a + -5 Reorder the terms: -2 + a = 7a + -5 Reorder the terms: -2 + a = -5 + 7a Solving -2 + a = -5 + 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. -2 + a + -7a = -5 + 7a + -7a Combine like terms: a + -7a = -6a -2 + -6a = -5 + 7a + -7a Combine like terms: 7a + -7a = 0 -2 + -6a = -5 + 0 -2 + -6a = -5 Add '2' to each side of the equation. -2 + 2 + -6a = -5 + 2 Combine like terms: -2 + 2 = 0 0 + -6a = -5 + 2 -6a = -5 + 2 Combine like terms: -5 + 2 = -3 -6a = -3 Divide each side by '-6'. a = 0.5 Simplifying a = 0.5
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