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Simplifying 4(5a + -3) = 2(8a + 12) Reorder the terms: 4(-3 + 5a) = 2(8a + 12) (-3 * 4 + 5a * 4) = 2(8a + 12) (-12 + 20a) = 2(8a + 12) Reorder the terms: -12 + 20a = 2(12 + 8a) -12 + 20a = (12 * 2 + 8a * 2) -12 + 20a = (24 + 16a) Solving -12 + 20a = 24 + 16a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-16a' to each side of the equation. -12 + 20a + -16a = 24 + 16a + -16a Combine like terms: 20a + -16a = 4a -12 + 4a = 24 + 16a + -16a Combine like terms: 16a + -16a = 0 -12 + 4a = 24 + 0 -12 + 4a = 24 Add '12' to each side of the equation. -12 + 12 + 4a = 24 + 12 Combine like terms: -12 + 12 = 0 0 + 4a = 24 + 12 4a = 24 + 12 Combine like terms: 24 + 12 = 36 4a = 36 Divide each side by '4'. a = 9 Simplifying a = 9
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