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Simplifying -7(a + 6) = -3(4a + 4) Reorder the terms: -7(6 + a) = -3(4a + 4) (6 * -7 + a * -7) = -3(4a + 4) (-42 + -7a) = -3(4a + 4) Reorder the terms: -42 + -7a = -3(4 + 4a) -42 + -7a = (4 * -3 + 4a * -3) -42 + -7a = (-12 + -12a) Solving -42 + -7a = -12 + -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. -42 + -7a + 12a = -12 + -12a + 12a Combine like terms: -7a + 12a = 5a -42 + 5a = -12 + -12a + 12a Combine like terms: -12a + 12a = 0 -42 + 5a = -12 + 0 -42 + 5a = -12 Add '42' to each side of the equation. -42 + 42 + 5a = -12 + 42 Combine like terms: -42 + 42 = 0 0 + 5a = -12 + 42 5a = -12 + 42 Combine like terms: -12 + 42 = 30 5a = 30 Divide each side by '5'. a = 6 Simplifying a = 6
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