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Simplifying -3z + -1 = 2(z + 7) Reorder the terms: -1 + -3z = 2(z + 7) Reorder the terms: -1 + -3z = 2(7 + z) -1 + -3z = (7 * 2 + z * 2) -1 + -3z = (14 + 2z) Solving -1 + -3z = 14 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. -1 + -3z + -2z = 14 + 2z + -2z Combine like terms: -3z + -2z = -5z -1 + -5z = 14 + 2z + -2z Combine like terms: 2z + -2z = 0 -1 + -5z = 14 + 0 -1 + -5z = 14 Add '1' to each side of the equation. -1 + 1 + -5z = 14 + 1 Combine like terms: -1 + 1 = 0 0 + -5z = 14 + 1 -5z = 14 + 1 Combine like terms: 14 + 1 = 15 -5z = 15 Divide each side by '-5'. z = -3 Simplifying z = -3
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