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Simplifying 3(a + -5) + -5a = 2a + 9 Reorder the terms: 3(-5 + a) + -5a = 2a + 9 (-5 * 3 + a * 3) + -5a = 2a + 9 (-15 + 3a) + -5a = 2a + 9 Combine like terms: 3a + -5a = -2a -15 + -2a = 2a + 9 Reorder the terms: -15 + -2a = 9 + 2a Solving -15 + -2a = 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. -15 + -2a + -2a = 9 + 2a + -2a Combine like terms: -2a + -2a = -4a -15 + -4a = 9 + 2a + -2a Combine like terms: 2a + -2a = 0 -15 + -4a = 9 + 0 -15 + -4a = 9 Add '15' to each side of the equation. -15 + 15 + -4a = 9 + 15 Combine like terms: -15 + 15 = 0 0 + -4a = 9 + 15 -4a = 9 + 15 Combine like terms: 9 + 15 = 24 -4a = 24 Divide each side by '-4'. a = -6 Simplifying a = -6
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