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Simplifying 7a + -17 = 4a + 7(2 + a) Reorder the terms: -17 + 7a = 4a + 7(2 + a) -17 + 7a = 4a + (2 * 7 + a * 7) -17 + 7a = 4a + (14 + 7a) Reorder the terms: -17 + 7a = 14 + 4a + 7a Combine like terms: 4a + 7a = 11a -17 + 7a = 14 + 11a Solving -17 + 7a = 14 + 11a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-11a' to each side of the equation. -17 + 7a + -11a = 14 + 11a + -11a Combine like terms: 7a + -11a = -4a -17 + -4a = 14 + 11a + -11a Combine like terms: 11a + -11a = 0 -17 + -4a = 14 + 0 -17 + -4a = 14 Add '17' to each side of the equation. -17 + 17 + -4a = 14 + 17 Combine like terms: -17 + 17 = 0 0 + -4a = 14 + 17 -4a = 14 + 17 Combine like terms: 14 + 17 = 31 -4a = 31 Divide each side by '-4'. a = -7.75 Simplifying a = -7.75
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