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Simplifying 4(z + -7) + -3 = -51 Reorder the terms: 4(-7 + z) + -3 = -51 (-7 * 4 + z * 4) + -3 = -51 (-28 + 4z) + -3 = -51 Reorder the terms: -28 + -3 + 4z = -51 Combine like terms: -28 + -3 = -31 -31 + 4z = -51 Solving -31 + 4z = -51 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + 4z = -51 + 31 Combine like terms: -31 + 31 = 0 0 + 4z = -51 + 31 4z = -51 + 31 Combine like terms: -51 + 31 = -20 4z = -20 Divide each side by '4'. z = -5 Simplifying z = -5
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