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Simplifying 7(a + -3) = 3(5 + a) Reorder the terms: 7(-3 + a) = 3(5 + a) (-3 * 7 + a * 7) = 3(5 + a) (-21 + 7a) = 3(5 + a) -21 + 7a = (5 * 3 + a * 3) -21 + 7a = (15 + 3a) Solving -21 + 7a = 15 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -21 + 7a + -3a = 15 + 3a + -3a Combine like terms: 7a + -3a = 4a -21 + 4a = 15 + 3a + -3a Combine like terms: 3a + -3a = 0 -21 + 4a = 15 + 0 -21 + 4a = 15 Add '21' to each side of the equation. -21 + 21 + 4a = 15 + 21 Combine like terms: -21 + 21 = 0 0 + 4a = 15 + 21 4a = 15 + 21 Combine like terms: 15 + 21 = 36 4a = 36 Divide each side by '4'. a = 9 Simplifying a = 9
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