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Simplifying 9a + -7 = 17(a + -3) Reorder the terms: -7 + 9a = 17(a + -3) Reorder the terms: -7 + 9a = 17(-3 + a) -7 + 9a = (-3 * 17 + a * 17) -7 + 9a = (-51 + 17a) Solving -7 + 9a = -51 + 17a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-17a' to each side of the equation. -7 + 9a + -17a = -51 + 17a + -17a Combine like terms: 9a + -17a = -8a -7 + -8a = -51 + 17a + -17a Combine like terms: 17a + -17a = 0 -7 + -8a = -51 + 0 -7 + -8a = -51 Add '7' to each side of the equation. -7 + 7 + -8a = -51 + 7 Combine like terms: -7 + 7 = 0 0 + -8a = -51 + 7 -8a = -51 + 7 Combine like terms: -51 + 7 = -44 -8a = -44 Divide each side by '-8'. a = 5.5 Simplifying a = 5.5
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