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Simplifying -7(5 + 2a) = -4a + -11(a + 5) (5 * -7 + 2a * -7) = -4a + -11(a + 5) (-35 + -14a) = -4a + -11(a + 5) Reorder the terms: -35 + -14a = -4a + -11(5 + a) -35 + -14a = -4a + (5 * -11 + a * -11) -35 + -14a = -4a + (-55 + -11a) Reorder the terms: -35 + -14a = -55 + -4a + -11a Combine like terms: -4a + -11a = -15a -35 + -14a = -55 + -15a Solving -35 + -14a = -55 + -15a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '15a' to each side of the equation. -35 + -14a + 15a = -55 + -15a + 15a Combine like terms: -14a + 15a = 1a -35 + 1a = -55 + -15a + 15a Combine like terms: -15a + 15a = 0 -35 + 1a = -55 + 0 -35 + 1a = -55 Add '35' to each side of the equation. -35 + 35 + 1a = -55 + 35 Combine like terms: -35 + 35 = 0 0 + 1a = -55 + 35 1a = -55 + 35 Combine like terms: -55 + 35 = -20 1a = -20 Divide each side by '1'. a = -20 Simplifying a = -20
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