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Simplifying 3 + 7(z + -4) = -1(3z + -10) Reorder the terms: 3 + 7(-4 + z) = -1(3z + -10) 3 + (-4 * 7 + z * 7) = -1(3z + -10) 3 + (-28 + 7z) = -1(3z + -10) Combine like terms: 3 + -28 = -25 -25 + 7z = -1(3z + -10) Reorder the terms: -25 + 7z = -1(-10 + 3z) -25 + 7z = (-10 * -1 + 3z * -1) -25 + 7z = (10 + -3z) Solving -25 + 7z = 10 + -3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3z' to each side of the equation. -25 + 7z + 3z = 10 + -3z + 3z Combine like terms: 7z + 3z = 10z -25 + 10z = 10 + -3z + 3z Combine like terms: -3z + 3z = 0 -25 + 10z = 10 + 0 -25 + 10z = 10 Add '25' to each side of the equation. -25 + 25 + 10z = 10 + 25 Combine like terms: -25 + 25 = 0 0 + 10z = 10 + 25 10z = 10 + 25 Combine like terms: 10 + 25 = 35 10z = 35 Divide each side by '10'. z = 3.5 Simplifying z = 3.5
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