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Simplifying -5(a + 6) = 2a + -9 Reorder the terms: -5(6 + a) = 2a + -9 (6 * -5 + a * -5) = 2a + -9 (-30 + -5a) = 2a + -9 Reorder the terms: -30 + -5a = -9 + 2a Solving -30 + -5a = -9 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. -30 + -5a + -2a = -9 + 2a + -2a Combine like terms: -5a + -2a = -7a -30 + -7a = -9 + 2a + -2a Combine like terms: 2a + -2a = 0 -30 + -7a = -9 + 0 -30 + -7a = -9 Add '30' to each side of the equation. -30 + 30 + -7a = -9 + 30 Combine like terms: -30 + 30 = 0 0 + -7a = -9 + 30 -7a = -9 + 30 Combine like terms: -9 + 30 = 21 -7a = 21 Divide each side by '-7'. a = -3 Simplifying a = -3
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