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Simplifying 10 + -4(z + 7) = 2(1 + -1z) Reorder the terms: 10 + -4(7 + z) = 2(1 + -1z) 10 + (7 * -4 + z * -4) = 2(1 + -1z) 10 + (-28 + -4z) = 2(1 + -1z) Combine like terms: 10 + -28 = -18 -18 + -4z = 2(1 + -1z) -18 + -4z = (1 * 2 + -1z * 2) -18 + -4z = (2 + -2z) Solving -18 + -4z = 2 + -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. -18 + -4z + 2z = 2 + -2z + 2z Combine like terms: -4z + 2z = -2z -18 + -2z = 2 + -2z + 2z Combine like terms: -2z + 2z = 0 -18 + -2z = 2 + 0 -18 + -2z = 2 Add '18' to each side of the equation. -18 + 18 + -2z = 2 + 18 Combine like terms: -18 + 18 = 0 0 + -2z = 2 + 18 -2z = 2 + 18 Combine like terms: 2 + 18 = 20 -2z = 20 Divide each side by '-2'. z = -10 Simplifying z = -10
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