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Simplifying 6(3a + -5) = 4(5a + -9) Reorder the terms: 6(-5 + 3a) = 4(5a + -9) (-5 * 6 + 3a * 6) = 4(5a + -9) (-30 + 18a) = 4(5a + -9) Reorder the terms: -30 + 18a = 4(-9 + 5a) -30 + 18a = (-9 * 4 + 5a * 4) -30 + 18a = (-36 + 20a) Solving -30 + 18a = -36 + 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. -30 + 18a + -20a = -36 + 20a + -20a Combine like terms: 18a + -20a = -2a -30 + -2a = -36 + 20a + -20a Combine like terms: 20a + -20a = 0 -30 + -2a = -36 + 0 -30 + -2a = -36 Add '30' to each side of the equation. -30 + 30 + -2a = -36 + 30 Combine like terms: -30 + 30 = 0 0 + -2a = -36 + 30 -2a = -36 + 30 Combine like terms: -36 + 30 = -6 -2a = -6 Divide each side by '-2'. a = 3 Simplifying a = 3
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