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Simplifying 6(a + -6) + 6 = 2(a + -7) Reorder the terms: 6(-6 + a) + 6 = 2(a + -7) (-6 * 6 + a * 6) + 6 = 2(a + -7) (-36 + 6a) + 6 = 2(a + -7) Reorder the terms: -36 + 6 + 6a = 2(a + -7) Combine like terms: -36 + 6 = -30 -30 + 6a = 2(a + -7) Reorder the terms: -30 + 6a = 2(-7 + a) -30 + 6a = (-7 * 2 + a * 2) -30 + 6a = (-14 + 2a) Solving -30 + 6a = -14 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. -30 + 6a + -2a = -14 + 2a + -2a Combine like terms: 6a + -2a = 4a -30 + 4a = -14 + 2a + -2a Combine like terms: 2a + -2a = 0 -30 + 4a = -14 + 0 -30 + 4a = -14 Add '30' to each side of the equation. -30 + 30 + 4a = -14 + 30 Combine like terms: -30 + 30 = 0 0 + 4a = -14 + 30 4a = -14 + 30 Combine like terms: -14 + 30 = 16 4a = 16 Divide each side by '4'. a = 4 Simplifying a = 4
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