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Simplifying 2(z + -5) = 3 + -1(4 + z) Reorder the terms: 2(-5 + z) = 3 + -1(4 + z) (-5 * 2 + z * 2) = 3 + -1(4 + z) (-10 + 2z) = 3 + -1(4 + z) -10 + 2z = 3 + (4 * -1 + z * -1) -10 + 2z = 3 + (-4 + -1z) Combine like terms: 3 + -4 = -1 -10 + 2z = -1 + -1z Solving -10 + 2z = -1 + -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. -10 + 2z + z = -1 + -1z + z Combine like terms: 2z + z = 3z -10 + 3z = -1 + -1z + z Combine like terms: -1z + z = 0 -10 + 3z = -1 + 0 -10 + 3z = -1 Add '10' to each side of the equation. -10 + 10 + 3z = -1 + 10 Combine like terms: -10 + 10 = 0 0 + 3z = -1 + 10 3z = -1 + 10 Combine like terms: -1 + 10 = 9 3z = 9 Divide each side by '3'. z = 3 Simplifying z = 3
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