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Simplifying 3 + -4(2 + 1) = 3z + -1(2 + z) Combine like terms: 2 + 1 = 3 3 + -4(3) = 3z + -1(2 + z) Multiply -4 * 3 3 + -12 = 3z + -1(2 + z) Combine like terms: 3 + -12 = -9 -9 = 3z + -1(2 + z) -9 = 3z + (2 * -1 + z * -1) -9 = 3z + (-2 + -1z) Reorder the terms: -9 = -2 + 3z + -1z Combine like terms: 3z + -1z = 2z -9 = -2 + 2z Solving -9 = -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. -9 + -2z = -2 + 2z + -2z Combine like terms: 2z + -2z = 0 -9 + -2z = -2 + 0 -9 + -2z = -2 Add '9' to each side of the equation. -9 + 9 + -2z = -2 + 9 Combine like terms: -9 + 9 = 0 0 + -2z = -2 + 9 -2z = -2 + 9 Combine like terms: -2 + 9 = 7 -2z = 7 Divide each side by '-2'. z = -3.5 Simplifying z = -3.5
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