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Simplifying 2(z + -2) = 4(z + 8) + -18 Reorder the terms: 2(-2 + z) = 4(z + 8) + -18 (-2 * 2 + z * 2) = 4(z + 8) + -18 (-4 + 2z) = 4(z + 8) + -18 Reorder the terms: -4 + 2z = 4(8 + z) + -18 -4 + 2z = (8 * 4 + z * 4) + -18 -4 + 2z = (32 + 4z) + -18 Reorder the terms: -4 + 2z = 32 + -18 + 4z Combine like terms: 32 + -18 = 14 -4 + 2z = 14 + 4z Solving -4 + 2z = 14 + 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. -4 + 2z + -4z = 14 + 4z + -4z Combine like terms: 2z + -4z = -2z -4 + -2z = 14 + 4z + -4z Combine like terms: 4z + -4z = 0 -4 + -2z = 14 + 0 -4 + -2z = 14 Add '4' to each side of the equation. -4 + 4 + -2z = 14 + 4 Combine like terms: -4 + 4 = 0 0 + -2z = 14 + 4 -2z = 14 + 4 Combine like terms: 14 + 4 = 18 -2z = 18 Divide each side by '-2'. z = -9 Simplifying z = -9
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