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Simplifying 7(6a + -8) + -3a = 10 + 6a Reorder the terms: 7(-8 + 6a) + -3a = 10 + 6a (-8 * 7 + 6a * 7) + -3a = 10 + 6a (-56 + 42a) + -3a = 10 + 6a Combine like terms: 42a + -3a = 39a -56 + 39a = 10 + 6a Solving -56 + 39a = 10 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. -56 + 39a + -6a = 10 + 6a + -6a Combine like terms: 39a + -6a = 33a -56 + 33a = 10 + 6a + -6a Combine like terms: 6a + -6a = 0 -56 + 33a = 10 + 0 -56 + 33a = 10 Add '56' to each side of the equation. -56 + 56 + 33a = 10 + 56 Combine like terms: -56 + 56 = 0 0 + 33a = 10 + 56 33a = 10 + 56 Combine like terms: 10 + 56 = 66 33a = 66 Divide each side by '33'. a = 2 Simplifying a = 2
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