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Simplifying 5(z + -3) = 7 + 6z Reorder the terms: 5(-3 + z) = 7 + 6z (-3 * 5 + z * 5) = 7 + 6z (-15 + 5z) = 7 + 6z Solving -15 + 5z = 7 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. -15 + 5z + -6z = 7 + 6z + -6z Combine like terms: 5z + -6z = -1z -15 + -1z = 7 + 6z + -6z Combine like terms: 6z + -6z = 0 -15 + -1z = 7 + 0 -15 + -1z = 7 Add '15' to each side of the equation. -15 + 15 + -1z = 7 + 15 Combine like terms: -15 + 15 = 0 0 + -1z = 7 + 15 -1z = 7 + 15 Combine like terms: 7 + 15 = 22 -1z = 22 Divide each side by '-1'. z = -22 Simplifying z = -22
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