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Simplifying 10a + -2 = 12a + -10 Reorder the terms: -2 + 10a = 12a + -10 Reorder the terms: -2 + 10a = -10 + 12a Solving -2 + 10a = -10 + 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. -2 + 10a + -12a = -10 + 12a + -12a Combine like terms: 10a + -12a = -2a -2 + -2a = -10 + 12a + -12a Combine like terms: 12a + -12a = 0 -2 + -2a = -10 + 0 -2 + -2a = -10 Add '2' to each side of the equation. -2 + 2 + -2a = -10 + 2 Combine like terms: -2 + 2 = 0 0 + -2a = -10 + 2 -2a = -10 + 2 Combine like terms: -10 + 2 = -8 -2a = -8 Divide each side by '-2'. a = 4 Simplifying a = 4
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