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Simplifying z + 37 = 3z + -53 Reorder the terms: 37 + z = 3z + -53 Reorder the terms: 37 + z = -53 + 3z Solving 37 + z = -53 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 37 + z + -3z = -53 + 3z + -3z Combine like terms: z + -3z = -2z 37 + -2z = -53 + 3z + -3z Combine like terms: 3z + -3z = 0 37 + -2z = -53 + 0 37 + -2z = -53 Add '-37' to each side of the equation. 37 + -37 + -2z = -53 + -37 Combine like terms: 37 + -37 = 0 0 + -2z = -53 + -37 -2z = -53 + -37 Combine like terms: -53 + -37 = -90 -2z = -90 Divide each side by '-2'. z = 45 Simplifying z = 45
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