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Simplifying 6a + 3(a + -4) = 8(a + -3) Reorder the terms: 6a + 3(-4 + a) = 8(a + -3) 6a + (-4 * 3 + a * 3) = 8(a + -3) 6a + (-12 + 3a) = 8(a + -3) Reorder the terms: -12 + 6a + 3a = 8(a + -3) Combine like terms: 6a + 3a = 9a -12 + 9a = 8(a + -3) Reorder the terms: -12 + 9a = 8(-3 + a) -12 + 9a = (-3 * 8 + a * 8) -12 + 9a = (-24 + 8a) Solving -12 + 9a = -24 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. -12 + 9a + -8a = -24 + 8a + -8a Combine like terms: 9a + -8a = 1a -12 + 1a = -24 + 8a + -8a Combine like terms: 8a + -8a = 0 -12 + 1a = -24 + 0 -12 + 1a = -24 Add '12' to each side of the equation. -12 + 12 + 1a = -24 + 12 Combine like terms: -12 + 12 = 0 0 + 1a = -24 + 12 1a = -24 + 12 Combine like terms: -24 + 12 = -12 1a = -12 Divide each side by '1'. a = -12 Simplifying a = -12
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