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Simplifying 4(-1) = 2(z + 3) Multiply 4 * -1 -4 = 2(z + 3) Reorder the terms: -4 = 2(3 + z) -4 = (3 * 2 + z * 2) -4 = (6 + 2z) Solving -4 = 6 + 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. -4 + -2z = 6 + 2z + -2z Combine like terms: 2z + -2z = 0 -4 + -2z = 6 + 0 -4 + -2z = 6 Add '4' to each side of the equation. -4 + 4 + -2z = 6 + 4 Combine like terms: -4 + 4 = 0 0 + -2z = 6 + 4 -2z = 6 + 4 Combine like terms: 6 + 4 = 10 -2z = 10 Divide each side by '-2'. z = -5 Simplifying z = -5
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