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Simplifying 5(a + -3) = 4(a + 9) Reorder the terms: 5(-3 + a) = 4(a + 9) (-3 * 5 + a * 5) = 4(a + 9) (-15 + 5a) = 4(a + 9) Reorder the terms: -15 + 5a = 4(9 + a) -15 + 5a = (9 * 4 + a * 4) -15 + 5a = (36 + 4a) Solving -15 + 5a = 36 + 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. -15 + 5a + -4a = 36 + 4a + -4a Combine like terms: 5a + -4a = 1a -15 + 1a = 36 + 4a + -4a Combine like terms: 4a + -4a = 0 -15 + 1a = 36 + 0 -15 + 1a = 36 Add '15' to each side of the equation. -15 + 15 + 1a = 36 + 15 Combine like terms: -15 + 15 = 0 0 + 1a = 36 + 15 1a = 36 + 15 Combine like terms: 36 + 15 = 51 1a = 51 Divide each side by '1'. a = 51 Simplifying a = 51
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