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Simplifying 7(a + -7) = -3(a + 4) Reorder the terms: 7(-7 + a) = -3(a + 4) (-7 * 7 + a * 7) = -3(a + 4) (-49 + 7a) = -3(a + 4) Reorder the terms: -49 + 7a = -3(4 + a) -49 + 7a = (4 * -3 + a * -3) -49 + 7a = (-12 + -3a) Solving -49 + 7a = -12 + -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 = -12 + -3a + 3a Combine like terms: 7a + 3a = 10a -49 + 10a = -12 + -3a + 3a Combine like terms: -3a + 3a = 0 -49 + 10a = -12 + 0 -49 + 10a = -12 Add '49' to each side of the equation. -49 + 49 + 10a = -12 + 49 Combine like terms: -49 + 49 = 0 0 + 10a = -12 + 49 10a = -12 + 49 Combine like terms: -12 + 49 = 37 10a = 37 Divide each side by '10'. a = 3.7 Simplifying a = 3.7
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