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Simplifying -21 + 5a = 4(a + -7) Reorder the terms: -21 + 5a = 4(-7 + a) -21 + 5a = (-7 * 4 + a * 4) -21 + 5a = (-28 + 4a) Solving -21 + 5a = -28 + 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 + 5a + -4a = -28 + 4a + -4a Combine like terms: 5a + -4a = 1a -21 + 1a = -28 + 4a + -4a Combine like terms: 4a + -4a = 0 -21 + 1a = -28 + 0 -21 + 1a = -28 Add '21' to each side of the equation. -21 + 21 + 1a = -28 + 21 Combine like terms: -21 + 21 = 0 0 + 1a = -28 + 21 1a = -28 + 21 Combine like terms: -28 + 21 = -7 1a = -7 Divide each side by '1'. a = -7 Simplifying a = -7
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