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Simplifying 4(a + -2) = 3(a + 8) Reorder the terms: 4(-2 + a) = 3(a + 8) (-2 * 4 + a * 4) = 3(a + 8) (-8 + 4a) = 3(a + 8) Reorder the terms: -8 + 4a = 3(8 + a) -8 + 4a = (8 * 3 + a * 3) -8 + 4a = (24 + 3a) Solving -8 + 4a = 24 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -8 + 4a + -3a = 24 + 3a + -3a Combine like terms: 4a + -3a = 1a -8 + 1a = 24 + 3a + -3a Combine like terms: 3a + -3a = 0 -8 + 1a = 24 + 0 -8 + 1a = 24 Add '8' to each side of the equation. -8 + 8 + 1a = 24 + 8 Combine like terms: -8 + 8 = 0 0 + 1a = 24 + 8 1a = 24 + 8 Combine like terms: 24 + 8 = 32 1a = 32 Divide each side by '1'. a = 32 Simplifying a = 32
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