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Simplifying 6(a + -8) + 24 = 4(a + -4) Reorder the terms: 6(-8 + a) + 24 = 4(a + -4) (-8 * 6 + a * 6) + 24 = 4(a + -4) (-48 + 6a) + 24 = 4(a + -4) Reorder the terms: -48 + 24 + 6a = 4(a + -4) Combine like terms: -48 + 24 = -24 -24 + 6a = 4(a + -4) Reorder the terms: -24 + 6a = 4(-4 + a) -24 + 6a = (-4 * 4 + a * 4) -24 + 6a = (-16 + 4a) Solving -24 + 6a = -16 + 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. -24 + 6a + -4a = -16 + 4a + -4a Combine like terms: 6a + -4a = 2a -24 + 2a = -16 + 4a + -4a Combine like terms: 4a + -4a = 0 -24 + 2a = -16 + 0 -24 + 2a = -16 Add '24' to each side of the equation. -24 + 24 + 2a = -16 + 24 Combine like terms: -24 + 24 = 0 0 + 2a = -16 + 24 2a = -16 + 24 Combine like terms: -16 + 24 = 8 2a = 8 Divide each side by '2'. a = 4 Simplifying a = 4
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