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Simplifying 4a + -12 = 2(a + 1) + 19 + 4 Reorder the terms: -12 + 4a = 2(a + 1) + 19 + 4 Reorder the terms: -12 + 4a = 2(1 + a) + 19 + 4 -12 + 4a = (1 * 2 + a * 2) + 19 + 4 -12 + 4a = (2 + 2a) + 19 + 4 Reorder the terms: -12 + 4a = 2 + 19 + 4 + 2a Combine like terms: 2 + 19 = 21 -12 + 4a = 21 + 4 + 2a Combine like terms: 21 + 4 = 25 -12 + 4a = 25 + 2a Solving -12 + 4a = 25 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. -12 + 4a + -2a = 25 + 2a + -2a Combine like terms: 4a + -2a = 2a -12 + 2a = 25 + 2a + -2a Combine like terms: 2a + -2a = 0 -12 + 2a = 25 + 0 -12 + 2a = 25 Add '12' to each side of the equation. -12 + 12 + 2a = 25 + 12 Combine like terms: -12 + 12 = 0 0 + 2a = 25 + 12 2a = 25 + 12 Combine like terms: 25 + 12 = 37 2a = 37 Divide each side by '2'. a = 18.5 Simplifying a = 18.5
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