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Simplifying (a + b) + -5(a + b) + -84 = 0 Remove parenthesis around (a + b) a + b + -5(a + b) + -84 = 0 a + b + (a * -5 + b * -5) + -84 = 0 a + b + (-5a + -5b) + -84 = 0 Reorder the terms: -84 + a + -5a + b + -5b = 0 Combine like terms: a + -5a = -4a -84 + -4a + b + -5b = 0 Combine like terms: b + -5b = -4b -84 + -4a + -4b = 0 Solving -84 + -4a + -4b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '84' to each side of the equation. -84 + -4a + 84 + -4b = 0 + 84 Reorder the terms: -84 + 84 + -4a + -4b = 0 + 84 Combine like terms: -84 + 84 = 0 0 + -4a + -4b = 0 + 84 -4a + -4b = 0 + 84 Combine like terms: 0 + 84 = 84 -4a + -4b = 84 Add '4b' to each side of the equation. -4a + -4b + 4b = 84 + 4b Combine like terms: -4b + 4b = 0 -4a + 0 = 84 + 4b -4a = 84 + 4b Divide each side by '-4'. a = -21 + -1b Simplifying a = -21 + -1b
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