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