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Simplifying 5 + -1(a + 6) + -3a = -9a + -16 Reorder the terms: 5 + -1(6 + a) + -3a = -9a + -16 5 + (6 * -1 + a * -1) + -3a = -9a + -16 5 + (-6 + -1a) + -3a = -9a + -16 Combine like terms: 5 + -6 = -1 -1 + -1a + -3a = -9a + -16 Combine like terms: -1a + -3a = -4a -1 + -4a = -9a + -16 Reorder the terms: -1 + -4a = -16 + -9a Solving -1 + -4a = -16 + -9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '9a' to each side of the equation. -1 + -4a + 9a = -16 + -9a + 9a Combine like terms: -4a + 9a = 5a -1 + 5a = -16 + -9a + 9a Combine like terms: -9a + 9a = 0 -1 + 5a = -16 + 0 -1 + 5a = -16 Add '1' to each side of the equation. -1 + 1 + 5a = -16 + 1 Combine like terms: -1 + 1 = 0 0 + 5a = -16 + 1 5a = -16 + 1 Combine like terms: -16 + 1 = -15 5a = -15 Divide each side by '5'. a = -3 Simplifying a = -3
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