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Simplifying 8x + 4(4a + -3) = 4(6x + 4) + -4 Reorder the terms: 8x + 4(-3 + 4a) = 4(6x + 4) + -4 8x + (-3 * 4 + 4a * 4) = 4(6x + 4) + -4 8x + (-12 + 16a) = 4(6x + 4) + -4 Reorder the terms: -12 + 16a + 8x = 4(6x + 4) + -4 Reorder the terms: -12 + 16a + 8x = 4(4 + 6x) + -4 -12 + 16a + 8x = (4 * 4 + 6x * 4) + -4 -12 + 16a + 8x = (16 + 24x) + -4 Reorder the terms: -12 + 16a + 8x = 16 + -4 + 24x Combine like terms: 16 + -4 = 12 -12 + 16a + 8x = 12 + 24x Solving -12 + 16a + 8x = 12 + 24x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 16a + 12 + 8x = 12 + 12 + 24x Reorder the terms: -12 + 12 + 16a + 8x = 12 + 12 + 24x Combine like terms: -12 + 12 = 0 0 + 16a + 8x = 12 + 12 + 24x 16a + 8x = 12 + 12 + 24x Combine like terms: 12 + 12 = 24 16a + 8x = 24 + 24x Add '-8x' to each side of the equation. 16a + 8x + -8x = 24 + 24x + -8x Combine like terms: 8x + -8x = 0 16a + 0 = 24 + 24x + -8x 16a = 24 + 24x + -8x Combine like terms: 24x + -8x = 16x 16a = 24 + 16x Divide each side by '16'. a = 1.5 + x Simplifying a = 1.5 + x
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