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Simplifying 2(z + -4) = 4(z + 7) + -18 Reorder the terms: 2(-4 + z) = 4(z + 7) + -18 (-4 * 2 + z * 2) = 4(z + 7) + -18 (-8 + 2z) = 4(z + 7) + -18 Reorder the terms: -8 + 2z = 4(7 + z) + -18 -8 + 2z = (7 * 4 + z * 4) + -18 -8 + 2z = (28 + 4z) + -18 Reorder the terms: -8 + 2z = 28 + -18 + 4z Combine like terms: 28 + -18 = 10 -8 + 2z = 10 + 4z Solving -8 + 2z = 10 + 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. -8 + 2z + -4z = 10 + 4z + -4z Combine like terms: 2z + -4z = -2z -8 + -2z = 10 + 4z + -4z Combine like terms: 4z + -4z = 0 -8 + -2z = 10 + 0 -8 + -2z = 10 Add '8' to each side of the equation. -8 + 8 + -2z = 10 + 8 Combine like terms: -8 + 8 = 0 0 + -2z = 10 + 8 -2z = 10 + 8 Combine like terms: 10 + 8 = 18 -2z = 18 Divide each side by '-2'. z = -9 Simplifying z = -9
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