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Simplifying 10 + 3z = 7(z + -2) Reorder the terms: 10 + 3z = 7(-2 + z) 10 + 3z = (-2 * 7 + z * 7) 10 + 3z = (-14 + 7z) Solving 10 + 3z = -14 + 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. 10 + 3z + -7z = -14 + 7z + -7z Combine like terms: 3z + -7z = -4z 10 + -4z = -14 + 7z + -7z Combine like terms: 7z + -7z = 0 10 + -4z = -14 + 0 10 + -4z = -14 Add '-10' to each side of the equation. 10 + -10 + -4z = -14 + -10 Combine like terms: 10 + -10 = 0 0 + -4z = -14 + -10 -4z = -14 + -10 Combine like terms: -14 + -10 = -24 -4z = -24 Divide each side by '-4'. z = 6 Simplifying z = 6
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