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Simplifying 2a + -9(a + 6) = 6(a + 3) + -4a Reorder the terms: 2a + -9(6 + a) = 6(a + 3) + -4a 2a + (6 * -9 + a * -9) = 6(a + 3) + -4a 2a + (-54 + -9a) = 6(a + 3) + -4a Reorder the terms: -54 + 2a + -9a = 6(a + 3) + -4a Combine like terms: 2a + -9a = -7a -54 + -7a = 6(a + 3) + -4a Reorder the terms: -54 + -7a = 6(3 + a) + -4a -54 + -7a = (3 * 6 + a * 6) + -4a -54 + -7a = (18 + 6a) + -4a Combine like terms: 6a + -4a = 2a -54 + -7a = 18 + 2a Solving -54 + -7a = 18 + 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. -54 + -7a + -2a = 18 + 2a + -2a Combine like terms: -7a + -2a = -9a -54 + -9a = 18 + 2a + -2a Combine like terms: 2a + -2a = 0 -54 + -9a = 18 + 0 -54 + -9a = 18 Add '54' to each side of the equation. -54 + 54 + -9a = 18 + 54 Combine like terms: -54 + 54 = 0 0 + -9a = 18 + 54 -9a = 18 + 54 Combine like terms: 18 + 54 = 72 -9a = 72 Divide each side by '-9'. a = -8 Simplifying a = -8
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