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Simplifying 6(w + -7) + -5 = -4(-6w + 8) + -6w Reorder the terms: 6(-7 + w) + -5 = -4(-6w + 8) + -6w (-7 * 6 + w * 6) + -5 = -4(-6w + 8) + -6w (-42 + 6w) + -5 = -4(-6w + 8) + -6w Reorder the terms: -42 + -5 + 6w = -4(-6w + 8) + -6w Combine like terms: -42 + -5 = -47 -47 + 6w = -4(-6w + 8) + -6w Reorder the terms: -47 + 6w = -4(8 + -6w) + -6w -47 + 6w = (8 * -4 + -6w * -4) + -6w -47 + 6w = (-32 + 24w) + -6w Combine like terms: 24w + -6w = 18w -47 + 6w = -32 + 18w Solving -47 + 6w = -32 + 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. -47 + 6w + -18w = -32 + 18w + -18w Combine like terms: 6w + -18w = -12w -47 + -12w = -32 + 18w + -18w Combine like terms: 18w + -18w = 0 -47 + -12w = -32 + 0 -47 + -12w = -32 Add '47' to each side of the equation. -47 + 47 + -12w = -32 + 47 Combine like terms: -47 + 47 = 0 0 + -12w = -32 + 47 -12w = -32 + 47 Combine like terms: -32 + 47 = 15 -12w = 15 Divide each side by '-12'. w = -1.25 Simplifying w = -1.25
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