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Simplifying 5a + -4(a + 1) + -3 = 12 Reorder the terms: 5a + -4(1 + a) + -3 = 12 5a + (1 * -4 + a * -4) + -3 = 12 5a + (-4 + -4a) + -3 = 12 Reorder the terms: -4 + -3 + 5a + -4a = 12 Combine like terms: -4 + -3 = -7 -7 + 5a + -4a = 12 Combine like terms: 5a + -4a = 1a -7 + 1a = 12 Solving -7 + 1a = 12 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 1a = 12 + 7 Combine like terms: -7 + 7 = 0 0 + 1a = 12 + 7 1a = 12 + 7 Combine like terms: 12 + 7 = 19 1a = 19 Divide each side by '1'. a = 19 Simplifying a = 19
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