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Simplifying 4(z + -7) + -1(-2z + -5) = 5z Reorder the terms: 4(-7 + z) + -1(-2z + -5) = 5z (-7 * 4 + z * 4) + -1(-2z + -5) = 5z (-28 + 4z) + -1(-2z + -5) = 5z Reorder the terms: -28 + 4z + -1(-5 + -2z) = 5z -28 + 4z + (-5 * -1 + -2z * -1) = 5z -28 + 4z + (5 + 2z) = 5z Reorder the terms: -28 + 5 + 4z + 2z = 5z Combine like terms: -28 + 5 = -23 -23 + 4z + 2z = 5z Combine like terms: 4z + 2z = 6z -23 + 6z = 5z Solving -23 + 6z = 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. -23 + 6z + -5z = 5z + -5z Combine like terms: 6z + -5z = 1z -23 + 1z = 5z + -5z Combine like terms: 5z + -5z = 0 -23 + 1z = 0 Add '23' to each side of the equation. -23 + 23 + 1z = 0 + 23 Combine like terms: -23 + 23 = 0 0 + 1z = 0 + 23 1z = 0 + 23 Combine like terms: 0 + 23 = 23 1z = 23 Divide each side by '1'. z = 23 Simplifying z = 23
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