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Simplifying 5a + -15 = -5(a + 7) Reorder the terms: -15 + 5a = -5(a + 7) Reorder the terms: -15 + 5a = -5(7 + a) -15 + 5a = (7 * -5 + a * -5) -15 + 5a = (-35 + -5a) Solving -15 + 5a = -35 + -5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5a' to each side of the equation. -15 + 5a + 5a = -35 + -5a + 5a Combine like terms: 5a + 5a = 10a -15 + 10a = -35 + -5a + 5a Combine like terms: -5a + 5a = 0 -15 + 10a = -35 + 0 -15 + 10a = -35 Add '15' to each side of the equation. -15 + 15 + 10a = -35 + 15 Combine like terms: -15 + 15 = 0 0 + 10a = -35 + 15 10a = -35 + 15 Combine like terms: -35 + 15 = -20 10a = -20 Divide each side by '10'. a = -2 Simplifying a = -2
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