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Simplifying 11 + -4[3(a + 5) + -2a] = 0 Reorder the terms: 11 + -4[3(5 + a) + -2a] = 0 11 + -4[(5 * 3 + a * 3) + -2a] = 0 11 + -4[(15 + 3a) + -2a] = 0 Combine like terms: 3a + -2a = 1a 11 + -4[15 + 1a] = 0 11 + [15 * -4 + 1a * -4] = 0 11 + [-60 + -4a] = 0 Combine like terms: 11 + -60 = -49 -49 + -4a = 0 Solving -49 + -4a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '49' to each side of the equation. -49 + 49 + -4a = 0 + 49 Combine like terms: -49 + 49 = 0 0 + -4a = 0 + 49 -4a = 0 + 49 Combine like terms: 0 + 49 = 49 -4a = 49 Divide each side by '-4'. a = -12.25 Simplifying a = -12.25
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