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Simplifying -18 = 9 + 4(z + -7) Reorder the terms: -18 = 9 + 4(-7 + z) -18 = 9 + (-7 * 4 + z * 4) -18 = 9 + (-28 + 4z) Combine like terms: 9 + -28 = -19 -18 = -19 + 4z Solving -18 = -19 + 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. -18 + -4z = -19 + 4z + -4z Combine like terms: 4z + -4z = 0 -18 + -4z = -19 + 0 -18 + -4z = -19 Add '18' to each side of the equation. -18 + 18 + -4z = -19 + 18 Combine like terms: -18 + 18 = 0 0 + -4z = -19 + 18 -4z = -19 + 18 Combine like terms: -19 + 18 = -1 -4z = -1 Divide each side by '-4'. z = 0.25 Simplifying z = 0.25
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