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Simplifying -21 + -7a = -7(1 + 3a) -21 + -7a = (1 * -7 + 3a * -7) -21 + -7a = (-7 + -21a) Solving -21 + -7a = -7 + -21a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '21a' to each side of the equation. -21 + -7a + 21a = -7 + -21a + 21a Combine like terms: -7a + 21a = 14a -21 + 14a = -7 + -21a + 21a Combine like terms: -21a + 21a = 0 -21 + 14a = -7 + 0 -21 + 14a = -7 Add '21' to each side of the equation. -21 + 21 + 14a = -7 + 21 Combine like terms: -21 + 21 = 0 0 + 14a = -7 + 21 14a = -7 + 21 Combine like terms: -7 + 21 = 14 14a = 14 Divide each side by '14'. a = 1 Simplifying a = 1
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