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Simplifying -7(2a + -3) + 4(a + 3) = -4a + 5a Reorder the terms: -7(-3 + 2a) + 4(a + 3) = -4a + 5a (-3 * -7 + 2a * -7) + 4(a + 3) = -4a + 5a (21 + -14a) + 4(a + 3) = -4a + 5a Reorder the terms: 21 + -14a + 4(3 + a) = -4a + 5a 21 + -14a + (3 * 4 + a * 4) = -4a + 5a 21 + -14a + (12 + 4a) = -4a + 5a Reorder the terms: 21 + 12 + -14a + 4a = -4a + 5a Combine like terms: 21 + 12 = 33 33 + -14a + 4a = -4a + 5a Combine like terms: -14a + 4a = -10a 33 + -10a = -4a + 5a Combine like terms: -4a + 5a = 1a 33 + -10a = 1a Solving 33 + -10a = 1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 33 + -10a + -1a = 1a + -1a Combine like terms: -10a + -1a = -11a 33 + -11a = 1a + -1a Combine like terms: 1a + -1a = 0 33 + -11a = 0 Add '-33' to each side of the equation. 33 + -33 + -11a = 0 + -33 Combine like terms: 33 + -33 = 0 0 + -11a = 0 + -33 -11a = 0 + -33 Combine like terms: 0 + -33 = -33 -11a = -33 Divide each side by '-11'. a = 3 Simplifying a = 3
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