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Simplifying 21 + -6a = 4a + -4(a + 3) Reorder the terms: 21 + -6a = 4a + -4(3 + a) 21 + -6a = 4a + (3 * -4 + a * -4) 21 + -6a = 4a + (-12 + -4a) Reorder the terms: 21 + -6a = -12 + 4a + -4a Combine like terms: 4a + -4a = 0 21 + -6a = -12 + 0 21 + -6a = -12 Solving 21 + -6a = -12 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -6a = -12 + -21 Combine like terms: 21 + -21 = 0 0 + -6a = -12 + -21 -6a = -12 + -21 Combine like terms: -12 + -21 = -33 -6a = -33 Divide each side by '-6'. a = 5.5 Simplifying a = 5.5
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