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Simplifying 10a + -5 = -2a + 7 Reorder the terms: -5 + 10a = -2a + 7 Reorder the terms: -5 + 10a = 7 + -2a Solving -5 + 10a = 7 + -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. -5 + 10a + 2a = 7 + -2a + 2a Combine like terms: 10a + 2a = 12a -5 + 12a = 7 + -2a + 2a Combine like terms: -2a + 2a = 0 -5 + 12a = 7 + 0 -5 + 12a = 7 Add '5' to each side of the equation. -5 + 5 + 12a = 7 + 5 Combine like terms: -5 + 5 = 0 0 + 12a = 7 + 5 12a = 7 + 5 Combine like terms: 7 + 5 = 12 12a = 12 Divide each side by '12'. a = 1 Simplifying a = 1
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