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Simplifying 4(4a + -2) = 4(3a + 8) Reorder the terms: 4(-2 + 4a) = 4(3a + 8) (-2 * 4 + 4a * 4) = 4(3a + 8) (-8 + 16a) = 4(3a + 8) Reorder the terms: -8 + 16a = 4(8 + 3a) -8 + 16a = (8 * 4 + 3a * 4) -8 + 16a = (32 + 12a) Solving -8 + 16a = 32 + 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. -8 + 16a + -12a = 32 + 12a + -12a Combine like terms: 16a + -12a = 4a -8 + 4a = 32 + 12a + -12a Combine like terms: 12a + -12a = 0 -8 + 4a = 32 + 0 -8 + 4a = 32 Add '8' to each side of the equation. -8 + 8 + 4a = 32 + 8 Combine like terms: -8 + 8 = 0 0 + 4a = 32 + 8 4a = 32 + 8 Combine like terms: 32 + 8 = 40 4a = 40 Divide each side by '4'. a = 10 Simplifying a = 10
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