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Simplifying -90 = 6a + -8(-1 + -1a) -90 = 6a + (-1 * -8 + -1a * -8) -90 = 6a + (8 + 8a) Reorder the terms: -90 = 8 + 6a + 8a Combine like terms: 6a + 8a = 14a -90 = 8 + 14a Solving -90 = 8 + 14a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-14a' to each side of the equation. -90 + -14a = 8 + 14a + -14a Combine like terms: 14a + -14a = 0 -90 + -14a = 8 + 0 -90 + -14a = 8 Add '90' to each side of the equation. -90 + 90 + -14a = 8 + 90 Combine like terms: -90 + 90 = 0 0 + -14a = 8 + 90 -14a = 8 + 90 Combine like terms: 8 + 90 = 98 -14a = 98 Divide each side by '-14'. a = -7 Simplifying a = -7
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