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Simplifying 10a + -3 = 12a + -11 Reorder the terms: -3 + 10a = 12a + -11 Reorder the terms: -3 + 10a = -11 + 12a Solving -3 + 10a = -11 + 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. -3 + 10a + -12a = -11 + 12a + -12a Combine like terms: 10a + -12a = -2a -3 + -2a = -11 + 12a + -12a Combine like terms: 12a + -12a = 0 -3 + -2a = -11 + 0 -3 + -2a = -11 Add '3' to each side of the equation. -3 + 3 + -2a = -11 + 3 Combine like terms: -3 + 3 = 0 0 + -2a = -11 + 3 -2a = -11 + 3 Combine like terms: -11 + 3 = -8 -2a = -8 Divide each side by '-2'. a = 4 Simplifying a = 4
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