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Simplifying 6(a + -9) = 4(a + -5) Reorder the terms: 6(-9 + a) = 4(a + -5) (-9 * 6 + a * 6) = 4(a + -5) (-54 + 6a) = 4(a + -5) Reorder the terms: -54 + 6a = 4(-5 + a) -54 + 6a = (-5 * 4 + a * 4) -54 + 6a = (-20 + 4a) Solving -54 + 6a = -20 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -54 + 6a + -4a = -20 + 4a + -4a Combine like terms: 6a + -4a = 2a -54 + 2a = -20 + 4a + -4a Combine like terms: 4a + -4a = 0 -54 + 2a = -20 + 0 -54 + 2a = -20 Add '54' to each side of the equation. -54 + 54 + 2a = -20 + 54 Combine like terms: -54 + 54 = 0 0 + 2a = -20 + 54 2a = -20 + 54 Combine like terms: -20 + 54 = 34 2a = 34 Divide each side by '2'. a = 17 Simplifying a = 17
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