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Simplifying 5a + -4(a + 9) = 2a + -3 Reorder the terms: 5a + -4(9 + a) = 2a + -3 5a + (9 * -4 + a * -4) = 2a + -3 5a + (-36 + -4a) = 2a + -3 Reorder the terms: -36 + 5a + -4a = 2a + -3 Combine like terms: 5a + -4a = 1a -36 + 1a = 2a + -3 Reorder the terms: -36 + 1a = -3 + 2a Solving -36 + 1a = -3 + 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. -36 + 1a + -2a = -3 + 2a + -2a Combine like terms: 1a + -2a = -1a -36 + -1a = -3 + 2a + -2a Combine like terms: 2a + -2a = 0 -36 + -1a = -3 + 0 -36 + -1a = -3 Add '36' to each side of the equation. -36 + 36 + -1a = -3 + 36 Combine like terms: -36 + 36 = 0 0 + -1a = -3 + 36 -1a = -3 + 36 Combine like terms: -3 + 36 = 33 -1a = 33 Divide each side by '-1'. a = -33 Simplifying a = -33
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