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Simplifying 5(3a + -7) + -6a = 3(a + -9) Reorder the terms: 5(-7 + 3a) + -6a = 3(a + -9) (-7 * 5 + 3a * 5) + -6a = 3(a + -9) (-35 + 15a) + -6a = 3(a + -9) Combine like terms: 15a + -6a = 9a -35 + 9a = 3(a + -9) Reorder the terms: -35 + 9a = 3(-9 + a) -35 + 9a = (-9 * 3 + a * 3) -35 + 9a = (-27 + 3a) Solving -35 + 9a = -27 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -35 + 9a + -3a = -27 + 3a + -3a Combine like terms: 9a + -3a = 6a -35 + 6a = -27 + 3a + -3a Combine like terms: 3a + -3a = 0 -35 + 6a = -27 + 0 -35 + 6a = -27 Add '35' to each side of the equation. -35 + 35 + 6a = -27 + 35 Combine like terms: -35 + 35 = 0 0 + 6a = -27 + 35 6a = -27 + 35 Combine like terms: -27 + 35 = 8 6a = 8 Divide each side by '6'. a = 1.333333333 Simplifying a = 1.333333333
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