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Simplifying z + -13 = 6z + -4z Reorder the terms: -13 + z = 6z + -4z Combine like terms: 6z + -4z = 2z -13 + z = 2z Solving -13 + z = 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. -13 + z + -2z = 2z + -2z Combine like terms: z + -2z = -1z -13 + -1z = 2z + -2z Combine like terms: 2z + -2z = 0 -13 + -1z = 0 Add '13' to each side of the equation. -13 + 13 + -1z = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -1z = 0 + 13 -1z = 0 + 13 Combine like terms: 0 + 13 = 13 -1z = 13 Divide each side by '-1'. z = -13 Simplifying z = -13
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