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Simplifying 10a + 12 + -3(7 + -1a) = -16 10a + 12 + (7 * -3 + -1a * -3) = -16 10a + 12 + (-21 + 3a) = -16 Reorder the terms: 12 + -21 + 10a + 3a = -16 Combine like terms: 12 + -21 = -9 -9 + 10a + 3a = -16 Combine like terms: 10a + 3a = 13a -9 + 13a = -16 Solving -9 + 13a = -16 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 13a = -16 + 9 Combine like terms: -9 + 9 = 0 0 + 13a = -16 + 9 13a = -16 + 9 Combine like terms: -16 + 9 = -7 13a = -7 Divide each side by '13'. a = -0.5384615385 Simplifying a = -0.5384615385
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