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Simplifying 16 + -1a = -4(6a + 1) + 3a Reorder the terms: 16 + -1a = -4(1 + 6a) + 3a 16 + -1a = (1 * -4 + 6a * -4) + 3a 16 + -1a = (-4 + -24a) + 3a Combine like terms: -24a + 3a = -21a 16 + -1a = -4 + -21a Solving 16 + -1a = -4 + -21a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '21a' to each side of the equation. 16 + -1a + 21a = -4 + -21a + 21a Combine like terms: -1a + 21a = 20a 16 + 20a = -4 + -21a + 21a Combine like terms: -21a + 21a = 0 16 + 20a = -4 + 0 16 + 20a = -4 Add '-16' to each side of the equation. 16 + -16 + 20a = -4 + -16 Combine like terms: 16 + -16 = 0 0 + 20a = -4 + -16 20a = -4 + -16 Combine like terms: -4 + -16 = -20 20a = -20 Divide each side by '20'. a = -1 Simplifying a = -1
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