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Simplifying 4a + -4 = 11 + 5(a + -4) Reorder the terms: -4 + 4a = 11 + 5(a + -4) Reorder the terms: -4 + 4a = 11 + 5(-4 + a) -4 + 4a = 11 + (-4 * 5 + a * 5) -4 + 4a = 11 + (-20 + 5a) Combine like terms: 11 + -20 = -9 -4 + 4a = -9 + 5a Solving -4 + 4a = -9 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. -4 + 4a + -5a = -9 + 5a + -5a Combine like terms: 4a + -5a = -1a -4 + -1a = -9 + 5a + -5a Combine like terms: 5a + -5a = 0 -4 + -1a = -9 + 0 -4 + -1a = -9 Add '4' to each side of the equation. -4 + 4 + -1a = -9 + 4 Combine like terms: -4 + 4 = 0 0 + -1a = -9 + 4 -1a = -9 + 4 Combine like terms: -9 + 4 = -5 -1a = -5 Divide each side by '-1'. a = 5 Simplifying a = 5
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