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Simplifying 5(a + -5) + 11 = 2(a + -4) Reorder the terms: 5(-5 + a) + 11 = 2(a + -4) (-5 * 5 + a * 5) + 11 = 2(a + -4) (-25 + 5a) + 11 = 2(a + -4) Reorder the terms: -25 + 11 + 5a = 2(a + -4) Combine like terms: -25 + 11 = -14 -14 + 5a = 2(a + -4) Reorder the terms: -14 + 5a = 2(-4 + a) -14 + 5a = (-4 * 2 + a * 2) -14 + 5a = (-8 + 2a) Solving -14 + 5a = -8 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. -14 + 5a + -2a = -8 + 2a + -2a Combine like terms: 5a + -2a = 3a -14 + 3a = -8 + 2a + -2a Combine like terms: 2a + -2a = 0 -14 + 3a = -8 + 0 -14 + 3a = -8 Add '14' to each side of the equation. -14 + 14 + 3a = -8 + 14 Combine like terms: -14 + 14 = 0 0 + 3a = -8 + 14 3a = -8 + 14 Combine like terms: -8 + 14 = 6 3a = 6 Divide each side by '3'. a = 2 Simplifying a = 2
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