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Simplifying 5(a + -6) + 6 = 2(a + -6) Reorder the terms: 5(-6 + a) + 6 = 2(a + -6) (-6 * 5 + a * 5) + 6 = 2(a + -6) (-30 + 5a) + 6 = 2(a + -6) Reorder the terms: -30 + 6 + 5a = 2(a + -6) Combine like terms: -30 + 6 = -24 -24 + 5a = 2(a + -6) Reorder the terms: -24 + 5a = 2(-6 + a) -24 + 5a = (-6 * 2 + a * 2) -24 + 5a = (-12 + 2a) Solving -24 + 5a = -12 + 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. -24 + 5a + -2a = -12 + 2a + -2a Combine like terms: 5a + -2a = 3a -24 + 3a = -12 + 2a + -2a Combine like terms: 2a + -2a = 0 -24 + 3a = -12 + 0 -24 + 3a = -12 Add '24' to each side of the equation. -24 + 24 + 3a = -12 + 24 Combine like terms: -24 + 24 = 0 0 + 3a = -12 + 24 3a = -12 + 24 Combine like terms: -12 + 24 = 12 3a = 12 Divide each side by '3'. a = 4 Simplifying a = 4
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