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Simplifying 21 + -3a = -7(a + -7) Reorder the terms: 21 + -3a = -7(-7 + a) 21 + -3a = (-7 * -7 + a * -7) 21 + -3a = (49 + -7a) Solving 21 + -3a = 49 + -7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7a' to each side of the equation. 21 + -3a + 7a = 49 + -7a + 7a Combine like terms: -3a + 7a = 4a 21 + 4a = 49 + -7a + 7a Combine like terms: -7a + 7a = 0 21 + 4a = 49 + 0 21 + 4a = 49 Add '-21' to each side of the equation. 21 + -21 + 4a = 49 + -21 Combine like terms: 21 + -21 = 0 0 + 4a = 49 + -21 4a = 49 + -21 Combine like terms: 49 + -21 = 28 4a = 28 Divide each side by '4'. a = 7 Simplifying a = 7
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