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Simplifying 16 + -4(2a + 1) = 6a + 1 + -3a Reorder the terms: 16 + -4(1 + 2a) = 6a + 1 + -3a 16 + (1 * -4 + 2a * -4) = 6a + 1 + -3a 16 + (-4 + -8a) = 6a + 1 + -3a Combine like terms: 16 + -4 = 12 12 + -8a = 6a + 1 + -3a Reorder the terms: 12 + -8a = 1 + 6a + -3a Combine like terms: 6a + -3a = 3a 12 + -8a = 1 + 3a Solving 12 + -8a = 1 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 12 + -8a + -3a = 1 + 3a + -3a Combine like terms: -8a + -3a = -11a 12 + -11a = 1 + 3a + -3a Combine like terms: 3a + -3a = 0 12 + -11a = 1 + 0 12 + -11a = 1 Add '-12' to each side of the equation. 12 + -12 + -11a = 1 + -12 Combine like terms: 12 + -12 = 0 0 + -11a = 1 + -12 -11a = 1 + -12 Combine like terms: 1 + -12 = -11 -11a = -11 Divide each side by '-11'. a = 1 Simplifying a = 1
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