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Simplifying 4(a + 10) + -6(2a + 9) = 146 Reorder the terms: 4(10 + a) + -6(2a + 9) = 146 (10 * 4 + a * 4) + -6(2a + 9) = 146 (40 + 4a) + -6(2a + 9) = 146 Reorder the terms: 40 + 4a + -6(9 + 2a) = 146 40 + 4a + (9 * -6 + 2a * -6) = 146 40 + 4a + (-54 + -12a) = 146 Reorder the terms: 40 + -54 + 4a + -12a = 146 Combine like terms: 40 + -54 = -14 -14 + 4a + -12a = 146 Combine like terms: 4a + -12a = -8a -14 + -8a = 146 Solving -14 + -8a = 146 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -8a = 146 + 14 Combine like terms: -14 + 14 = 0 0 + -8a = 146 + 14 -8a = 146 + 14 Combine like terms: 146 + 14 = 160 -8a = 160 Divide each side by '-8'. a = -20 Simplifying a = -20
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