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Simplifying 4a + 8 = 6a + -6(5 + -1a) Reorder the terms: 8 + 4a = 6a + -6(5 + -1a) 8 + 4a = 6a + (5 * -6 + -1a * -6) 8 + 4a = 6a + (-30 + 6a) Reorder the terms: 8 + 4a = -30 + 6a + 6a Combine like terms: 6a + 6a = 12a 8 + 4a = -30 + 12a Solving 8 + 4a = -30 + 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. 8 + 4a + -12a = -30 + 12a + -12a Combine like terms: 4a + -12a = -8a 8 + -8a = -30 + 12a + -12a Combine like terms: 12a + -12a = 0 8 + -8a = -30 + 0 8 + -8a = -30 Add '-8' to each side of the equation. 8 + -8 + -8a = -30 + -8 Combine like terms: 8 + -8 = 0 0 + -8a = -30 + -8 -8a = -30 + -8 Combine like terms: -30 + -8 = -38 -8a = -38 Divide each side by '-8'. a = 4.75 Simplifying a = 4.75
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