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Simplifying -14 = 5(a + -5) + 6(6a + -5) Reorder the terms: -14 = 5(-5 + a) + 6(6a + -5) -14 = (-5 * 5 + a * 5) + 6(6a + -5) -14 = (-25 + 5a) + 6(6a + -5) Reorder the terms: -14 = -25 + 5a + 6(-5 + 6a) -14 = -25 + 5a + (-5 * 6 + 6a * 6) -14 = -25 + 5a + (-30 + 36a) Reorder the terms: -14 = -25 + -30 + 5a + 36a Combine like terms: -25 + -30 = -55 -14 = -55 + 5a + 36a Combine like terms: 5a + 36a = 41a -14 = -55 + 41a Solving -14 = -55 + 41a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-41a' to each side of the equation. -14 + -41a = -55 + 41a + -41a Combine like terms: 41a + -41a = 0 -14 + -41a = -55 + 0 -14 + -41a = -55 Add '14' to each side of the equation. -14 + 14 + -41a = -55 + 14 Combine like terms: -14 + 14 = 0 0 + -41a = -55 + 14 -41a = -55 + 14 Combine like terms: -55 + 14 = -41 -41a = -41 Divide each side by '-41'. a = 1 Simplifying a = 1
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