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Simplifying 7(a + -3) = (5 + a) Reorder the terms: 7(-3 + a) = (5 + a) (-3 * 7 + a * 7) = (5 + a) (-21 + 7a) = (5 + a) Remove parenthesis around (5 + a) -21 + 7a = 5 + a Solving -21 + 7a = 5 + 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. -21 + 7a + -1a = 5 + a + -1a Combine like terms: 7a + -1a = 6a -21 + 6a = 5 + a + -1a Combine like terms: a + -1a = 0 -21 + 6a = 5 + 0 -21 + 6a = 5 Add '21' to each side of the equation. -21 + 21 + 6a = 5 + 21 Combine like terms: -21 + 21 = 0 0 + 6a = 5 + 21 6a = 5 + 21 Combine like terms: 5 + 21 = 26 6a = 26 Divide each side by '6'. a = 4.333333333 Simplifying a = 4.333333333
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