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Simplifying 10a + -5 = 7a + -2 Reorder the terms: -5 + 10a = 7a + -2 Reorder the terms: -5 + 10a = -2 + 7a Solving -5 + 10a = -2 + 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. -5 + 10a + -7a = -2 + 7a + -7a Combine like terms: 10a + -7a = 3a -5 + 3a = -2 + 7a + -7a Combine like terms: 7a + -7a = 0 -5 + 3a = -2 + 0 -5 + 3a = -2 Add '5' to each side of the equation. -5 + 5 + 3a = -2 + 5 Combine like terms: -5 + 5 = 0 0 + 3a = -2 + 5 3a = -2 + 5 Combine like terms: -2 + 5 = 3 3a = 3 Divide each side by '3'. a = 1 Simplifying a = 1
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