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Simplifying 7(z + 3) = 4(z + 1) + -10 Reorder the terms: 7(3 + z) = 4(z + 1) + -10 (3 * 7 + z * 7) = 4(z + 1) + -10 (21 + 7z) = 4(z + 1) + -10 Reorder the terms: 21 + 7z = 4(1 + z) + -10 21 + 7z = (1 * 4 + z * 4) + -10 21 + 7z = (4 + 4z) + -10 Reorder the terms: 21 + 7z = 4 + -10 + 4z Combine like terms: 4 + -10 = -6 21 + 7z = -6 + 4z Solving 21 + 7z = -6 + 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. 21 + 7z + -4z = -6 + 4z + -4z Combine like terms: 7z + -4z = 3z 21 + 3z = -6 + 4z + -4z Combine like terms: 4z + -4z = 0 21 + 3z = -6 + 0 21 + 3z = -6 Add '-21' to each side of the equation. 21 + -21 + 3z = -6 + -21 Combine like terms: 21 + -21 = 0 0 + 3z = -6 + -21 3z = -6 + -21 Combine like terms: -6 + -21 = -27 3z = -27 Divide each side by '3'. z = -9 Simplifying z = -9
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