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Simplifying 4a + -6 = 6(a + 2) + 8 Reorder the terms: -6 + 4a = 6(a + 2) + 8 Reorder the terms: -6 + 4a = 6(2 + a) + 8 -6 + 4a = (2 * 6 + a * 6) + 8 -6 + 4a = (12 + 6a) + 8 Reorder the terms: -6 + 4a = 12 + 8 + 6a Combine like terms: 12 + 8 = 20 -6 + 4a = 20 + 6a Solving -6 + 4a = 20 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. -6 + 4a + -6a = 20 + 6a + -6a Combine like terms: 4a + -6a = -2a -6 + -2a = 20 + 6a + -6a Combine like terms: 6a + -6a = 0 -6 + -2a = 20 + 0 -6 + -2a = 20 Add '6' to each side of the equation. -6 + 6 + -2a = 20 + 6 Combine like terms: -6 + 6 = 0 0 + -2a = 20 + 6 -2a = 20 + 6 Combine like terms: 20 + 6 = 26 -2a = 26 Divide each side by '-2'. a = -13 Simplifying a = -13
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