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Simplifying 3(a + -7) + 4 = 5(9 + -1a) Reorder the terms: 3(-7 + a) + 4 = 5(9 + -1a) (-7 * 3 + a * 3) + 4 = 5(9 + -1a) (-21 + 3a) + 4 = 5(9 + -1a) Reorder the terms: -21 + 4 + 3a = 5(9 + -1a) Combine like terms: -21 + 4 = -17 -17 + 3a = 5(9 + -1a) -17 + 3a = (9 * 5 + -1a * 5) -17 + 3a = (45 + -5a) Solving -17 + 3a = 45 + -5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5a' to each side of the equation. -17 + 3a + 5a = 45 + -5a + 5a Combine like terms: 3a + 5a = 8a -17 + 8a = 45 + -5a + 5a Combine like terms: -5a + 5a = 0 -17 + 8a = 45 + 0 -17 + 8a = 45 Add '17' to each side of the equation. -17 + 17 + 8a = 45 + 17 Combine like terms: -17 + 17 = 0 0 + 8a = 45 + 17 8a = 45 + 17 Combine like terms: 45 + 17 = 62 8a = 62 Divide each side by '8'. a = 7.75 Simplifying a = 7.75
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