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Simplifying 6(2a + 3) + -4 = 4(3w + -6) + 35 Reorder the terms: 6(3 + 2a) + -4 = 4(3w + -6) + 35 (3 * 6 + 2a * 6) + -4 = 4(3w + -6) + 35 (18 + 12a) + -4 = 4(3w + -6) + 35 Reorder the terms: 18 + -4 + 12a = 4(3w + -6) + 35 Combine like terms: 18 + -4 = 14 14 + 12a = 4(3w + -6) + 35 Reorder the terms: 14 + 12a = 4(-6 + 3w) + 35 14 + 12a = (-6 * 4 + 3w * 4) + 35 14 + 12a = (-24 + 12w) + 35 Reorder the terms: 14 + 12a = -24 + 35 + 12w Combine like terms: -24 + 35 = 11 14 + 12a = 11 + 12w Solving 14 + 12a = 11 + 12w Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 12a = 11 + -14 + 12w Combine like terms: 14 + -14 = 0 0 + 12a = 11 + -14 + 12w 12a = 11 + -14 + 12w Combine like terms: 11 + -14 = -3 12a = -3 + 12w Divide each side by '12'. a = -0.25 + w Simplifying a = -0.25 + w
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