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Simplifying -12 + -7a = -5(a + 4) Reorder the terms: -12 + -7a = -5(4 + a) -12 + -7a = (4 * -5 + a * -5) -12 + -7a = (-20 + -5a) Solving -12 + -7a = -20 + -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. -12 + -7a + 5a = -20 + -5a + 5a Combine like terms: -7a + 5a = -2a -12 + -2a = -20 + -5a + 5a Combine like terms: -5a + 5a = 0 -12 + -2a = -20 + 0 -12 + -2a = -20 Add '12' to each side of the equation. -12 + 12 + -2a = -20 + 12 Combine like terms: -12 + 12 = 0 0 + -2a = -20 + 12 -2a = -20 + 12 Combine like terms: -20 + 12 = -8 -2a = -8 Divide each side by '-2'. a = 4 Simplifying a = 4
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