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Simplifying 4(a + 3) = -6 + 6(a + 7) Reorder the terms: 4(3 + a) = -6 + 6(a + 7) (3 * 4 + a * 4) = -6 + 6(a + 7) (12 + 4a) = -6 + 6(a + 7) Reorder the terms: 12 + 4a = -6 + 6(7 + a) 12 + 4a = -6 + (7 * 6 + a * 6) 12 + 4a = -6 + (42 + 6a) Combine like terms: -6 + 42 = 36 12 + 4a = 36 + 6a Solving 12 + 4a = 36 + 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. 12 + 4a + -6a = 36 + 6a + -6a Combine like terms: 4a + -6a = -2a 12 + -2a = 36 + 6a + -6a Combine like terms: 6a + -6a = 0 12 + -2a = 36 + 0 12 + -2a = 36 Add '-12' to each side of the equation. 12 + -12 + -2a = 36 + -12 Combine like terms: 12 + -12 = 0 0 + -2a = 36 + -12 -2a = 36 + -12 Combine like terms: 36 + -12 = 24 -2a = 24 Divide each side by '-2'. a = -12 Simplifying a = -12
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