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Simplifying 8(a + 6) = 9(2a + -4) Reorder the terms: 8(6 + a) = 9(2a + -4) (6 * 8 + a * 8) = 9(2a + -4) (48 + 8a) = 9(2a + -4) Reorder the terms: 48 + 8a = 9(-4 + 2a) 48 + 8a = (-4 * 9 + 2a * 9) 48 + 8a = (-36 + 18a) Solving 48 + 8a = -36 + 18a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-18a' to each side of the equation. 48 + 8a + -18a = -36 + 18a + -18a Combine like terms: 8a + -18a = -10a 48 + -10a = -36 + 18a + -18a Combine like terms: 18a + -18a = 0 48 + -10a = -36 + 0 48 + -10a = -36 Add '-48' to each side of the equation. 48 + -48 + -10a = -36 + -48 Combine like terms: 48 + -48 = 0 0 + -10a = -36 + -48 -10a = -36 + -48 Combine like terms: -36 + -48 = -84 -10a = -84 Divide each side by '-10'. a = 8.4 Simplifying a = 8.4
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