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Simplifying 3(6a + -8) = 4(5a + -4) Reorder the terms: 3(-8 + 6a) = 4(5a + -4) (-8 * 3 + 6a * 3) = 4(5a + -4) (-24 + 18a) = 4(5a + -4) Reorder the terms: -24 + 18a = 4(-4 + 5a) -24 + 18a = (-4 * 4 + 5a * 4) -24 + 18a = (-16 + 20a) Solving -24 + 18a = -16 + 20a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-20a' to each side of the equation. -24 + 18a + -20a = -16 + 20a + -20a Combine like terms: 18a + -20a = -2a -24 + -2a = -16 + 20a + -20a Combine like terms: 20a + -20a = 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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