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Simplifying 7 + -2(z + 5) = -13 Reorder the terms: 7 + -2(5 + z) = -13 7 + (5 * -2 + z * -2) = -13 7 + (-10 + -2z) = -13 Combine like terms: 7 + -10 = -3 -3 + -2z = -13 Solving -3 + -2z = -13 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -2z = -13 + 3 Combine like terms: -3 + 3 = 0 0 + -2z = -13 + 3 -2z = -13 + 3 Combine like terms: -13 + 3 = -10 -2z = -10 Divide each side by '-2'. z = 5 Simplifying z = 5
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