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Simplifying 6(z + -4) + 18 = 2(z + 7) Reorder the terms: 6(-4 + z) + 18 = 2(z + 7) (-4 * 6 + z * 6) + 18 = 2(z + 7) (-24 + 6z) + 18 = 2(z + 7) Reorder the terms: -24 + 18 + 6z = 2(z + 7) Combine like terms: -24 + 18 = -6 -6 + 6z = 2(z + 7) Reorder the terms: -6 + 6z = 2(7 + z) -6 + 6z = (7 * 2 + z * 2) -6 + 6z = (14 + 2z) Solving -6 + 6z = 14 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. -6 + 6z + -2z = 14 + 2z + -2z Combine like terms: 6z + -2z = 4z -6 + 4z = 14 + 2z + -2z Combine like terms: 2z + -2z = 0 -6 + 4z = 14 + 0 -6 + 4z = 14 Add '6' to each side of the equation. -6 + 6 + 4z = 14 + 6 Combine like terms: -6 + 6 = 0 0 + 4z = 14 + 6 4z = 14 + 6 Combine like terms: 14 + 6 = 20 4z = 20 Divide each side by '4'. z = 5 Simplifying z = 5
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