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Simplifying a + -4 = 5 + -4(a + -4) Reorder the terms: -4 + a = 5 + -4(a + -4) Reorder the terms: -4 + a = 5 + -4(-4 + a) -4 + a = 5 + (-4 * -4 + a * -4) -4 + a = 5 + (16 + -4a) Combine like terms: 5 + 16 = 21 -4 + a = 21 + -4a Solving -4 + a = 21 + -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. -4 + a + 4a = 21 + -4a + 4a Combine like terms: a + 4a = 5a -4 + 5a = 21 + -4a + 4a Combine like terms: -4a + 4a = 0 -4 + 5a = 21 + 0 -4 + 5a = 21 Add '4' to each side of the equation. -4 + 4 + 5a = 21 + 4 Combine like terms: -4 + 4 = 0 0 + 5a = 21 + 4 5a = 21 + 4 Combine like terms: 21 + 4 = 25 5a = 25 Divide each side by '5'. a = 5 Simplifying a = 5
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