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Simplifying 4a + -2 + a = 5a + -4(a + -4) Reorder the terms: -2 + 4a + a = 5a + -4(a + -4) Combine like terms: 4a + a = 5a -2 + 5a = 5a + -4(a + -4) Reorder the terms: -2 + 5a = 5a + -4(-4 + a) -2 + 5a = 5a + (-4 * -4 + a * -4) -2 + 5a = 5a + (16 + -4a) Reorder the terms: -2 + 5a = 16 + 5a + -4a Combine like terms: 5a + -4a = 1a -2 + 5a = 16 + 1a Solving -2 + 5a = 16 + 1a 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. -2 + 5a + -1a = 16 + 1a + -1a Combine like terms: 5a + -1a = 4a -2 + 4a = 16 + 1a + -1a Combine like terms: 1a + -1a = 0 -2 + 4a = 16 + 0 -2 + 4a = 16 Add '2' to each side of the equation. -2 + 2 + 4a = 16 + 2 Combine like terms: -2 + 2 = 0 0 + 4a = 16 + 2 4a = 16 + 2 Combine like terms: 16 + 2 = 18 4a = 18 Divide each side by '4'. a = 4.5 Simplifying a = 4.5
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