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Simplifying 8a + -12 = 4(a + -5) Reorder the terms: -12 + 8a = 4(a + -5) Reorder the terms: -12 + 8a = 4(-5 + a) -12 + 8a = (-5 * 4 + a * 4) -12 + 8a = (-20 + 4a) Solving -12 + 8a = -20 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -12 + 8a + -4a = -20 + 4a + -4a Combine like terms: 8a + -4a = 4a -12 + 4a = -20 + 4a + -4a Combine like terms: 4a + -4a = 0 -12 + 4a = -20 + 0 -12 + 4a = -20 Add '12' to each side of the equation. -12 + 12 + 4a = -20 + 12 Combine like terms: -12 + 12 = 0 0 + 4a = -20 + 12 4a = -20 + 12 Combine like terms: -20 + 12 = -8 4a = -8 Divide each side by '4'. a = -2 Simplifying a = -2
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