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Simplifying 6(w + -2) + -1 = -7(-3w + 1) + -3w Reorder the terms: 6(-2 + w) + -1 = -7(-3w + 1) + -3w (-2 * 6 + w * 6) + -1 = -7(-3w + 1) + -3w (-12 + 6w) + -1 = -7(-3w + 1) + -3w Reorder the terms: -12 + -1 + 6w = -7(-3w + 1) + -3w Combine like terms: -12 + -1 = -13 -13 + 6w = -7(-3w + 1) + -3w Reorder the terms: -13 + 6w = -7(1 + -3w) + -3w -13 + 6w = (1 * -7 + -3w * -7) + -3w -13 + 6w = (-7 + 21w) + -3w Combine like terms: 21w + -3w = 18w -13 + 6w = -7 + 18w Solving -13 + 6w = -7 + 18w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-18w' to each side of the equation. -13 + 6w + -18w = -7 + 18w + -18w Combine like terms: 6w + -18w = -12w -13 + -12w = -7 + 18w + -18w Combine like terms: 18w + -18w = 0 -13 + -12w = -7 + 0 -13 + -12w = -7 Add '13' to each side of the equation. -13 + 13 + -12w = -7 + 13 Combine like terms: -13 + 13 = 0 0 + -12w = -7 + 13 -12w = -7 + 13 Combine like terms: -7 + 13 = 6 -12w = 6 Divide each side by '-12'. w = -0.5 Simplifying w = -0.5
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