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Simplifying 6(a + -7) + 6 = 3(a + -6) Reorder the terms: 6(-7 + a) + 6 = 3(a + -6) (-7 * 6 + a * 6) + 6 = 3(a + -6) (-42 + 6a) + 6 = 3(a + -6) Reorder the terms: -42 + 6 + 6a = 3(a + -6) Combine like terms: -42 + 6 = -36 -36 + 6a = 3(a + -6) Reorder the terms: -36 + 6a = 3(-6 + a) -36 + 6a = (-6 * 3 + a * 3) -36 + 6a = (-18 + 3a) Solving -36 + 6a = -18 + 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. -36 + 6a + -3a = -18 + 3a + -3a Combine like terms: 6a + -3a = 3a -36 + 3a = -18 + 3a + -3a Combine like terms: 3a + -3a = 0 -36 + 3a = -18 + 0 -36 + 3a = -18 Add '36' to each side of the equation. -36 + 36 + 3a = -18 + 36 Combine like terms: -36 + 36 = 0 0 + 3a = -18 + 36 3a = -18 + 36 Combine like terms: -18 + 36 = 18 3a = 18 Divide each side by '3'. a = 6 Simplifying a = 6
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