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Simplifying 17 + -4a = 7(a + -7) Reorder the terms: 17 + -4a = 7(-7 + a) 17 + -4a = (-7 * 7 + a * 7) 17 + -4a = (-49 + 7a) Solving 17 + -4a = -49 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. 17 + -4a + -7a = -49 + 7a + -7a Combine like terms: -4a + -7a = -11a 17 + -11a = -49 + 7a + -7a Combine like terms: 7a + -7a = 0 17 + -11a = -49 + 0 17 + -11a = -49 Add '-17' to each side of the equation. 17 + -17 + -11a = -49 + -17 Combine like terms: 17 + -17 = 0 0 + -11a = -49 + -17 -11a = -49 + -17 Combine like terms: -49 + -17 = -66 -11a = -66 Divide each side by '-11'. a = 6 Simplifying a = 6
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