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Simplifying -3 + 7(-5 + -2a) = -11(a + 7) -3 + (-5 * 7 + -2a * 7) = -11(a + 7) -3 + (-35 + -14a) = -11(a + 7) Combine like terms: -3 + -35 = -38 -38 + -14a = -11(a + 7) Reorder the terms: -38 + -14a = -11(7 + a) -38 + -14a = (7 * -11 + a * -11) -38 + -14a = (-77 + -11a) Solving -38 + -14a = -77 + -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. -38 + -14a + 11a = -77 + -11a + 11a Combine like terms: -14a + 11a = -3a -38 + -3a = -77 + -11a + 11a Combine like terms: -11a + 11a = 0 -38 + -3a = -77 + 0 -38 + -3a = -77 Add '38' to each side of the equation. -38 + 38 + -3a = -77 + 38 Combine like terms: -38 + 38 = 0 0 + -3a = -77 + 38 -3a = -77 + 38 Combine like terms: -77 + 38 = -39 -3a = -39 Divide each side by '-3'. a = 13 Simplifying a = 13
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