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Simplifying 4(a + 3) = 6(a + -1(5 + -1a)) Reorder the terms: 4(3 + a) = 6(a + -1(5 + -1a)) (3 * 4 + a * 4) = 6(a + -1(5 + -1a)) (12 + 4a) = 6(a + -1(5 + -1a)) 12 + 4a = 6(a + (5 * -1 + -1a * -1)) 12 + 4a = 6(a + (-5 + 1a)) Reorder the terms: 12 + 4a = 6(-5 + a + 1a) Combine like terms: a + 1a = 2a 12 + 4a = 6(-5 + 2a) 12 + 4a = (-5 * 6 + 2a * 6) 12 + 4a = (-30 + 12a) Solving 12 + 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. 12 + 4a + -12a = -30 + 12a + -12a Combine like terms: 4a + -12a = -8a 12 + -8a = -30 + 12a + -12a Combine like terms: 12a + -12a = 0 12 + -8a = -30 + 0 12 + -8a = -30 Add '-12' to each side of the equation. 12 + -12 + -8a = -30 + -12 Combine like terms: 12 + -12 = 0 0 + -8a = -30 + -12 -8a = -30 + -12 Combine like terms: -30 + -12 = -42 -8a = -42 Divide each side by '-8'. a = 5.25 Simplifying a = 5.25
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