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Simplifying -8(z + 8) + -1(9z + -2) = -18z Reorder the terms: -8(8 + z) + -1(9z + -2) = -18z (8 * -8 + z * -8) + -1(9z + -2) = -18z (-64 + -8z) + -1(9z + -2) = -18z Reorder the terms: -64 + -8z + -1(-2 + 9z) = -18z -64 + -8z + (-2 * -1 + 9z * -1) = -18z -64 + -8z + (2 + -9z) = -18z Reorder the terms: -64 + 2 + -8z + -9z = -18z Combine like terms: -64 + 2 = -62 -62 + -8z + -9z = -18z Combine like terms: -8z + -9z = -17z -62 + -17z = -18z Solving -62 + -17z = -18z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '18z' to each side of the equation. -62 + -17z + 18z = -18z + 18z Combine like terms: -17z + 18z = 1z -62 + 1z = -18z + 18z Combine like terms: -18z + 18z = 0 -62 + 1z = 0 Add '62' to each side of the equation. -62 + 62 + 1z = 0 + 62 Combine like terms: -62 + 62 = 0 0 + 1z = 0 + 62 1z = 0 + 62 Combine like terms: 0 + 62 = 62 1z = 62 Divide each side by '1'. z = 62 Simplifying z = 62
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