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Simplifying 4(2a + -3) + -4a = 3(2a + -6) Reorder the terms: 4(-3 + 2a) + -4a = 3(2a + -6) (-3 * 4 + 2a * 4) + -4a = 3(2a + -6) (-12 + 8a) + -4a = 3(2a + -6) Combine like terms: 8a + -4a = 4a -12 + 4a = 3(2a + -6) Reorder the terms: -12 + 4a = 3(-6 + 2a) -12 + 4a = (-6 * 3 + 2a * 3) -12 + 4a = (-18 + 6a) Solving -12 + 4a = -18 + 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 = -18 + 6a + -6a Combine like terms: 4a + -6a = -2a -12 + -2a = -18 + 6a + -6a Combine like terms: 6a + -6a = 0 -12 + -2a = -18 + 0 -12 + -2a = -18 Add '12' to each side of the equation. -12 + 12 + -2a = -18 + 12 Combine like terms: -12 + 12 = 0 0 + -2a = -18 + 12 -2a = -18 + 12 Combine like terms: -18 + 12 = -6 -2a = -6 Divide each side by '-2'. a = 3 Simplifying a = 3
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