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Simplifying 7z + -10 + -10z = 4(z + 1) Reorder the terms: -10 + 7z + -10z = 4(z + 1) Combine like terms: 7z + -10z = -3z -10 + -3z = 4(z + 1) Reorder the terms: -10 + -3z = 4(1 + z) -10 + -3z = (1 * 4 + z * 4) -10 + -3z = (4 + 4z) Solving -10 + -3z = 4 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. -10 + -3z + -4z = 4 + 4z + -4z Combine like terms: -3z + -4z = -7z -10 + -7z = 4 + 4z + -4z Combine like terms: 4z + -4z = 0 -10 + -7z = 4 + 0 -10 + -7z = 4 Add '10' to each side of the equation. -10 + 10 + -7z = 4 + 10 Combine like terms: -10 + 10 = 0 0 + -7z = 4 + 10 -7z = 4 + 10 Combine like terms: 4 + 10 = 14 -7z = 14 Divide each side by '-7'. z = -2 Simplifying z = -2
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