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Simplifying 3(2a + -6) = 4(a + -3) Reorder the terms: 3(-6 + 2a) = 4(a + -3) (-6 * 3 + 2a * 3) = 4(a + -3) (-18 + 6a) = 4(a + -3) Reorder the terms: -18 + 6a = 4(-3 + a) -18 + 6a = (-3 * 4 + a * 4) -18 + 6a = (-12 + 4a) Solving -18 + 6a = -12 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -18 + 6a + -4a = -12 + 4a + -4a Combine like terms: 6a + -4a = 2a -18 + 2a = -12 + 4a + -4a Combine like terms: 4a + -4a = 0 -18 + 2a = -12 + 0 -18 + 2a = -12 Add '18' to each side of the equation. -18 + 18 + 2a = -12 + 18 Combine like terms: -18 + 18 = 0 0 + 2a = -12 + 18 2a = -12 + 18 Combine like terms: -12 + 18 = 6 2a = 6 Divide each side by '2'. a = 3 Simplifying a = 3
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