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Simplifying 7(a + -3) = 6(a + -1z) Reorder the terms: 7(-3 + a) = 6(a + -1z) (-3 * 7 + a * 7) = 6(a + -1z) (-21 + 7a) = 6(a + -1z) -21 + 7a = (a * 6 + -1z * 6) -21 + 7a = (6a + -6z) Solving -21 + 7a = 6a + -6z Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. -21 + 7a + -6a = 6a + -6a + -6z Combine like terms: 7a + -6a = 1a -21 + 1a = 6a + -6a + -6z Combine like terms: 6a + -6a = 0 -21 + 1a = 0 + -6z -21 + 1a = -6z Add '21' to each side of the equation. -21 + 21 + 1a = 21 + -6z Combine like terms: -21 + 21 = 0 0 + 1a = 21 + -6z 1a = 21 + -6z Divide each side by '1'. a = 21 + -6z Simplifying a = 21 + -6z
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