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