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Simplifying -5 = 5(a + -7) + -4a Reorder the terms: -5 = 5(-7 + a) + -4a -5 = (-7 * 5 + a * 5) + -4a -5 = (-35 + 5a) + -4a Combine like terms: 5a + -4a = 1a -5 = -35 + 1a Solving -5 = -35 + 1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. -5 + -1a = -35 + 1a + -1a Combine like terms: 1a + -1a = 0 -5 + -1a = -35 + 0 -5 + -1a = -35 Add '5' to each side of the equation. -5 + 5 + -1a = -35 + 5 Combine like terms: -5 + 5 = 0 0 + -1a = -35 + 5 -1a = -35 + 5 Combine like terms: -35 + 5 = -30 -1a = -30 Divide each side by '-1'. a = 30 Simplifying a = 30
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