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Simplifying 3 + -4(z + 1) = 3z + -1(2 + 2) Reorder the terms: 3 + -4(1 + z) = 3z + -1(2 + 2) 3 + (1 * -4 + z * -4) = 3z + -1(2 + 2) 3 + (-4 + -4z) = 3z + -1(2 + 2) Combine like terms: 3 + -4 = -1 -1 + -4z = 3z + -1(2 + 2) Combine like terms: 2 + 2 = 4 -1 + -4z = 3z + -1(4) Multiply -1 * 4 -1 + -4z = 3z + -4 Reorder the terms: -1 + -4z = -4 + 3z Solving -1 + -4z = -4 + 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. -1 + -4z + -3z = -4 + 3z + -3z Combine like terms: -4z + -3z = -7z -1 + -7z = -4 + 3z + -3z Combine like terms: 3z + -3z = 0 -1 + -7z = -4 + 0 -1 + -7z = -4 Add '1' to each side of the equation. -1 + 1 + -7z = -4 + 1 Combine like terms: -1 + 1 = 0 0 + -7z = -4 + 1 -7z = -4 + 1 Combine like terms: -4 + 1 = -3 -7z = -3 Divide each side by '-7'. z = 0.4285714286 Simplifying z = 0.4285714286
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