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Simplifying -65 = -5(a + 3) + 4(1 + -1a) Reorder the terms: -65 = -5(3 + a) + 4(1 + -1a) -65 = (3 * -5 + a * -5) + 4(1 + -1a) -65 = (-15 + -5a) + 4(1 + -1a) -65 = -15 + -5a + (1 * 4 + -1a * 4) -65 = -15 + -5a + (4 + -4a) Reorder the terms: -65 = -15 + 4 + -5a + -4a Combine like terms: -15 + 4 = -11 -65 = -11 + -5a + -4a Combine like terms: -5a + -4a = -9a -65 = -11 + -9a Solving -65 = -11 + -9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '9a' to each side of the equation. -65 + 9a = -11 + -9a + 9a Combine like terms: -9a + 9a = 0 -65 + 9a = -11 + 0 -65 + 9a = -11 Add '65' to each side of the equation. -65 + 65 + 9a = -11 + 65 Combine like terms: -65 + 65 = 0 0 + 9a = -11 + 65 9a = -11 + 65 Combine like terms: -11 + 65 = 54 9a = 54 Divide each side by '9'. a = 6 Simplifying a = 6
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