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Simplifying -3 = 5(z + 7) Reorder the terms: -3 = 5(7 + z) -3 = (7 * 5 + z * 5) -3 = (35 + 5z) Solving -3 = 35 + 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. -3 + -5z = 35 + 5z + -5z Combine like terms: 5z + -5z = 0 -3 + -5z = 35 + 0 -3 + -5z = 35 Add '3' to each side of the equation. -3 + 3 + -5z = 35 + 3 Combine like terms: -3 + 3 = 0 0 + -5z = 35 + 3 -5z = 35 + 3 Combine like terms: 35 + 3 = 38 -5z = 38 Divide each side by '-5'. z = -7.6 Simplifying z = -7.6
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