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Simplifying 7a + 21 = 4(a + -4) Reorder the terms: 21 + 7a = 4(a + -4) Reorder the terms: 21 + 7a = 4(-4 + a) 21 + 7a = (-4 * 4 + a * 4) 21 + 7a = (-16 + 4a) Solving 21 + 7a = -16 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 21 + 7a + -4a = -16 + 4a + -4a Combine like terms: 7a + -4a = 3a 21 + 3a = -16 + 4a + -4a Combine like terms: 4a + -4a = 0 21 + 3a = -16 + 0 21 + 3a = -16 Add '-21' to each side of the equation. 21 + -21 + 3a = -16 + -21 Combine like terms: 21 + -21 = 0 0 + 3a = -16 + -21 3a = -16 + -21 Combine like terms: -16 + -21 = -37 3a = -37 Divide each side by '3'. a = -12.33333333 Simplifying a = -12.33333333
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