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Simplifying 10a + -12 = 6 + 13a Reorder the terms: -12 + 10a = 6 + 13a Solving -12 + 10a = 6 + 13a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-13a' to each side of the equation. -12 + 10a + -13a = 6 + 13a + -13a Combine like terms: 10a + -13a = -3a -12 + -3a = 6 + 13a + -13a Combine like terms: 13a + -13a = 0 -12 + -3a = 6 + 0 -12 + -3a = 6 Add '12' to each side of the equation. -12 + 12 + -3a = 6 + 12 Combine like terms: -12 + 12 = 0 0 + -3a = 6 + 12 -3a = 6 + 12 Combine like terms: 6 + 12 = 18 -3a = 18 Divide each side by '-3'. a = -6 Simplifying a = -6
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