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Simplifying 13z + 7(-3z + -1) = -63 Reorder the terms: 13z + 7(-1 + -3z) = -63 13z + (-1 * 7 + -3z * 7) = -63 13z + (-7 + -21z) = -63 Reorder the terms: -7 + 13z + -21z = -63 Combine like terms: 13z + -21z = -8z -7 + -8z = -63 Solving -7 + -8z = -63 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -8z = -63 + 7 Combine like terms: -7 + 7 = 0 0 + -8z = -63 + 7 -8z = -63 + 7 Combine like terms: -63 + 7 = -56 -8z = -56 Divide each side by '-8'. z = 7 Simplifying z = 7
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