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Simplifying 12a + -22b + -32a + 42b + -52 = 0 Reorder the terms: -52 + 12a + -32a + -22b + 42b = 0 Combine like terms: 12a + -32a = -20a -52 + -20a + -22b + 42b = 0 Combine like terms: -22b + 42b = 20b -52 + -20a + 20b = 0 Solving -52 + -20a + 20b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '52' to each side of the equation. -52 + -20a + 52 + 20b = 0 + 52 Reorder the terms: -52 + 52 + -20a + 20b = 0 + 52 Combine like terms: -52 + 52 = 0 0 + -20a + 20b = 0 + 52 -20a + 20b = 0 + 52 Combine like terms: 0 + 52 = 52 -20a + 20b = 52 Add '-20b' to each side of the equation. -20a + 20b + -20b = 52 + -20b Combine like terms: 20b + -20b = 0 -20a + 0 = 52 + -20b -20a = 52 + -20b Divide each side by '-20'. a = -2.6 + b Simplifying a = -2.6 + b
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