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Simplifying 6(a + -7) + 9 = 3(a + -7) Reorder the terms: 6(-7 + a) + 9 = 3(a + -7) (-7 * 6 + a * 6) + 9 = 3(a + -7) (-42 + 6a) + 9 = 3(a + -7) Reorder the terms: -42 + 9 + 6a = 3(a + -7) Combine like terms: -42 + 9 = -33 -33 + 6a = 3(a + -7) Reorder the terms: -33 + 6a = 3(-7 + a) -33 + 6a = (-7 * 3 + a * 3) -33 + 6a = (-21 + 3a) Solving -33 + 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. -33 + 6a + -3a = -21 + 3a + -3a Combine like terms: 6a + -3a = 3a -33 + 3a = -21 + 3a + -3a Combine like terms: 3a + -3a = 0 -33 + 3a = -21 + 0 -33 + 3a = -21 Add '33' to each side of the equation. -33 + 33 + 3a = -21 + 33 Combine like terms: -33 + 33 = 0 0 + 3a = -21 + 33 3a = -21 + 33 Combine like terms: -21 + 33 = 12 3a = 12 Divide each side by '3'. a = 4 Simplifying a = 4
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