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Simplifying 5h + -7 = 5(h + -1z) + 3 Reorder the terms: -7 + 5h = 5(h + -1z) + 3 -7 + 5h = (h * 5 + -1z * 5) + 3 -7 + 5h = (5h + -5z) + 3 Reorder the terms: -7 + 5h = 3 + 5h + -5z Add '-5h' to each side of the equation. -7 + 5h + -5h = 3 + 5h + -5h + -5z Combine like terms: 5h + -5h = 0 -7 + 0 = 3 + 5h + -5h + -5z -7 = 3 + 5h + -5h + -5z Combine like terms: 5h + -5h = 0 -7 = 3 + 0 + -5z -7 = 3 + -5z Solving -7 = 3 + -5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '5z' to each side of the equation. -7 + 5z = 3 + -5z + 5z Combine like terms: -5z + 5z = 0 -7 + 5z = 3 + 0 -7 + 5z = 3 Add '7' to each side of the equation. -7 + 7 + 5z = 3 + 7 Combine like terms: -7 + 7 = 0 0 + 5z = 3 + 7 5z = 3 + 7 Combine like terms: 3 + 7 = 10 5z = 10 Divide each side by '5'. z = 2 Simplifying z = 2
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