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Simplifying 4(z + -2) + 7 = -13 Reorder the terms: 4(-2 + z) + 7 = -13 (-2 * 4 + z * 4) + 7 = -13 (-8 + 4z) + 7 = -13 Reorder the terms: -8 + 7 + 4z = -13 Combine like terms: -8 + 7 = -1 -1 + 4z = -13 Solving -1 + 4z = -13 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 4z = -13 + 1 Combine like terms: -1 + 1 = 0 0 + 4z = -13 + 1 4z = -13 + 1 Combine like terms: -13 + 1 = -12 4z = -12 Divide each side by '4'. z = -3 Simplifying z = -3
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