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Simplifying 6(2a + -6) = 4(4a + 4) Reorder the terms: 6(-6 + 2a) = 4(4a + 4) (-6 * 6 + 2a * 6) = 4(4a + 4) (-36 + 12a) = 4(4a + 4) Reorder the terms: -36 + 12a = 4(4 + 4a) -36 + 12a = (4 * 4 + 4a * 4) -36 + 12a = (16 + 16a) Solving -36 + 12a = 16 + 16a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-16a' to each side of the equation. -36 + 12a + -16a = 16 + 16a + -16a Combine like terms: 12a + -16a = -4a -36 + -4a = 16 + 16a + -16a Combine like terms: 16a + -16a = 0 -36 + -4a = 16 + 0 -36 + -4a = 16 Add '36' to each side of the equation. -36 + 36 + -4a = 16 + 36 Combine like terms: -36 + 36 = 0 0 + -4a = 16 + 36 -4a = 16 + 36 Combine like terms: 16 + 36 = 52 -4a = 52 Divide each side by '-4'. a = -13 Simplifying a = -13
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