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Simplifying 6(x + -5) + -3w = 12 Reorder the terms: 6(-5 + x) + -3w = 12 (-5 * 6 + x * 6) + -3w = 12 (-30 + 6x) + -3w = 12 Reorder the terms: -30 + -3w + 6x = 12 Solving -30 + -3w + 6x = 12 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '30' to each side of the equation. -30 + -3w + 30 + 6x = 12 + 30 Reorder the terms: -30 + 30 + -3w + 6x = 12 + 30 Combine like terms: -30 + 30 = 0 0 + -3w + 6x = 12 + 30 -3w + 6x = 12 + 30 Combine like terms: 12 + 30 = 42 -3w + 6x = 42 Add '-6x' to each side of the equation. -3w + 6x + -6x = 42 + -6x Combine like terms: 6x + -6x = 0 -3w + 0 = 42 + -6x -3w = 42 + -6x Divide each side by '-3'. w = -14 + 2x Simplifying w = -14 + 2x
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