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Simplifying 7(a + -7) = -3(a + 3) Reorder the terms: 7(-7 + a) = -3(a + 3) (-7 * 7 + a * 7) = -3(a + 3) (-49 + 7a) = -3(a + 3) Reorder the terms: -49 + 7a = -3(3 + a) -49 + 7a = (3 * -3 + a * -3) -49 + 7a = (-9 + -3a) Solving -49 + 7a = -9 + -3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. -49 + 7a + 3a = -9 + -3a + 3a Combine like terms: 7a + 3a = 10a -49 + 10a = -9 + -3a + 3a Combine like terms: -3a + 3a = 0 -49 + 10a = -9 + 0 -49 + 10a = -9 Add '49' to each side of the equation. -49 + 49 + 10a = -9 + 49 Combine like terms: -49 + 49 = 0 0 + 10a = -9 + 49 10a = -9 + 49 Combine like terms: -9 + 49 = 40 10a = 40 Divide each side by '10'. a = 4 Simplifying a = 4
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