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Simplifying 6(a + -6) + 6 = 4(a + -5) Reorder the terms: 6(-6 + a) + 6 = 4(a + -5) (-6 * 6 + a * 6) + 6 = 4(a + -5) (-36 + 6a) + 6 = 4(a + -5) Reorder the terms: -36 + 6 + 6a = 4(a + -5) Combine like terms: -36 + 6 = -30 -30 + 6a = 4(a + -5) Reorder the terms: -30 + 6a = 4(-5 + a) -30 + 6a = (-5 * 4 + a * 4) -30 + 6a = (-20 + 4a) Solving -30 + 6a = -20 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -30 + 6a + -4a = -20 + 4a + -4a Combine like terms: 6a + -4a = 2a -30 + 2a = -20 + 4a + -4a Combine like terms: 4a + -4a = 0 -30 + 2a = -20 + 0 -30 + 2a = -20 Add '30' to each side of the equation. -30 + 30 + 2a = -20 + 30 Combine like terms: -30 + 30 = 0 0 + 2a = -20 + 30 2a = -20 + 30 Combine like terms: -20 + 30 = 10 2a = 10 Divide each side by '2'. a = 5 Simplifying a = 5
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