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Simplifying 163 = -7(2a + -7) + -5a Reorder the terms: 163 = -7(-7 + 2a) + -5a 163 = (-7 * -7 + 2a * -7) + -5a 163 = (49 + -14a) + -5a Combine like terms: -14a + -5a = -19a 163 = 49 + -19a Solving 163 = 49 + -19a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '19a' to each side of the equation. 163 + 19a = 49 + -19a + 19a Combine like terms: -19a + 19a = 0 163 + 19a = 49 + 0 163 + 19a = 49 Add '-163' to each side of the equation. 163 + -163 + 19a = 49 + -163 Combine like terms: 163 + -163 = 0 0 + 19a = 49 + -163 19a = 49 + -163 Combine like terms: 49 + -163 = -114 19a = -114 Divide each side by '19'. a = -6 Simplifying a = -6
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