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Simplifying 6(a + -8) + 9 = 3(a + -7) Reorder the terms: 6(-8 + a) + 9 = 3(a + -7) (-8 * 6 + a * 6) + 9 = 3(a + -7) (-48 + 6a) + 9 = 3(a + -7) Reorder the terms: -48 + 9 + 6a = 3(a + -7) Combine like terms: -48 + 9 = -39 -39 + 6a = 3(a + -7) Reorder the terms: -39 + 6a = 3(-7 + a) -39 + 6a = (-7 * 3 + a * 3) -39 + 6a = (-21 + 3a) Solving -39 + 6a = -21 + 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. -39 + 6a + -3a = -21 + 3a + -3a Combine like terms: 6a + -3a = 3a -39 + 3a = -21 + 3a + -3a Combine like terms: 3a + -3a = 0 -39 + 3a = -21 + 0 -39 + 3a = -21 Add '39' to each side of the equation. -39 + 39 + 3a = -21 + 39 Combine like terms: -39 + 39 = 0 0 + 3a = -21 + 39 3a = -21 + 39 Combine like terms: -21 + 39 = 18 3a = 18 Divide each side by '3'. a = 6 Simplifying a = 6
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