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Simplifying 7(z + 7) + -1(1 + 3z) = 3z Reorder the terms: 7(7 + z) + -1(1 + 3z) = 3z (7 * 7 + z * 7) + -1(1 + 3z) = 3z (49 + 7z) + -1(1 + 3z) = 3z 49 + 7z + (1 * -1 + 3z * -1) = 3z 49 + 7z + (-1 + -3z) = 3z Reorder the terms: 49 + -1 + 7z + -3z = 3z Combine like terms: 49 + -1 = 48 48 + 7z + -3z = 3z Combine like terms: 7z + -3z = 4z 48 + 4z = 3z Solving 48 + 4z = 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 48 + 4z + -3z = 3z + -3z Combine like terms: 4z + -3z = 1z 48 + 1z = 3z + -3z Combine like terms: 3z + -3z = 0 48 + 1z = 0 Add '-48' to each side of the equation. 48 + -48 + 1z = 0 + -48 Combine like terms: 48 + -48 = 0 0 + 1z = 0 + -48 1z = 0 + -48 Combine like terms: 0 + -48 = -48 1z = -48 Divide each side by '1'. z = -48 Simplifying z = -48
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