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Simplifying 5x + -7 + 10Z + 6w = 32 Reorder the terms: -7 + 10Z + 6w + 5x = 32 Solving -7 + 10Z + 6w + 5x = 32 Solving for variable 'Z'. Move all terms containing Z to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 10Z + 6w + 7 + 5x = 32 + 7 Reorder the terms: -7 + 7 + 10Z + 6w + 5x = 32 + 7 Combine like terms: -7 + 7 = 0 0 + 10Z + 6w + 5x = 32 + 7 10Z + 6w + 5x = 32 + 7 Combine like terms: 32 + 7 = 39 10Z + 6w + 5x = 39 Add '-6w' to each side of the equation. 10Z + 6w + -6w + 5x = 39 + -6w Combine like terms: 6w + -6w = 0 10Z + 0 + 5x = 39 + -6w 10Z + 5x = 39 + -6w Add '-5x' to each side of the equation. 10Z + 5x + -5x = 39 + -6w + -5x Combine like terms: 5x + -5x = 0 10Z + 0 = 39 + -6w + -5x 10Z = 39 + -6w + -5x Divide each side by '10'. Z = 3.9 + -0.6w + -0.5x Simplifying Z = 3.9 + -0.6w + -0.5x
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