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Simplifying 3(3a + -7) = -5(a + 7) Reorder the terms: 3(-7 + 3a) = -5(a + 7) (-7 * 3 + 3a * 3) = -5(a + 7) (-21 + 9a) = -5(a + 7) Reorder the terms: -21 + 9a = -5(7 + a) -21 + 9a = (7 * -5 + a * -5) -21 + 9a = (-35 + -5a) Solving -21 + 9a = -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. -21 + 9a + 5a = -35 + -5a + 5a Combine like terms: 9a + 5a = 14a -21 + 14a = -35 + -5a + 5a Combine like terms: -5a + 5a = 0 -21 + 14a = -35 + 0 -21 + 14a = -35 Add '21' to each side of the equation. -21 + 21 + 14a = -35 + 21 Combine like terms: -21 + 21 = 0 0 + 14a = -35 + 21 14a = -35 + 21 Combine like terms: -35 + 21 = -14 14a = -14 Divide each side by '14'. a = -1 Simplifying a = -1
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