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Simplifying 7a + -6 = 10a + 6 Reorder the terms: -6 + 7a = 10a + 6 Reorder the terms: -6 + 7a = 6 + 10a Solving -6 + 7a = 6 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. -6 + 7a + -10a = 6 + 10a + -10a Combine like terms: 7a + -10a = -3a -6 + -3a = 6 + 10a + -10a Combine like terms: 10a + -10a = 0 -6 + -3a = 6 + 0 -6 + -3a = 6 Add '6' to each side of the equation. -6 + 6 + -3a = 6 + 6 Combine like terms: -6 + 6 = 0 0 + -3a = 6 + 6 -3a = 6 + 6 Combine like terms: 6 + 6 = 12 -3a = 12 Divide each side by '-3'. a = -4 Simplifying a = -4
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