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Simplifying 8(a + -9) = 4(5 + 3a) Reorder the terms: 8(-9 + a) = 4(5 + 3a) (-9 * 8 + a * 8) = 4(5 + 3a) (-72 + 8a) = 4(5 + 3a) -72 + 8a = (5 * 4 + 3a * 4) -72 + 8a = (20 + 12a) Solving -72 + 8a = 20 + 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. -72 + 8a + -12a = 20 + 12a + -12a Combine like terms: 8a + -12a = -4a -72 + -4a = 20 + 12a + -12a Combine like terms: 12a + -12a = 0 -72 + -4a = 20 + 0 -72 + -4a = 20 Add '72' to each side of the equation. -72 + 72 + -4a = 20 + 72 Combine like terms: -72 + 72 = 0 0 + -4a = 20 + 72 -4a = 20 + 72 Combine like terms: 20 + 72 = 92 -4a = 92 Divide each side by '-4'. a = -23 Simplifying a = -23
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