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Simplifying 63 = -7(-6 + -3z) 63 = (-6 * -7 + -3z * -7) 63 = (42 + 21z) Solving 63 = 42 + 21z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-21z' to each side of the equation. 63 + -21z = 42 + 21z + -21z Combine like terms: 21z + -21z = 0 63 + -21z = 42 + 0 63 + -21z = 42 Add '-63' to each side of the equation. 63 + -63 + -21z = 42 + -63 Combine like terms: 63 + -63 = 0 0 + -21z = 42 + -63 -21z = 42 + -63 Combine like terms: 42 + -63 = -21 -21z = -21 Divide each side by '-21'. z = 1 Simplifying z = 1
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