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