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Simplifying 4z + 3 = 6z + -10 Reorder the terms: 3 + 4z = 6z + -10 Reorder the terms: 3 + 4z = -10 + 6z Solving 3 + 4z = -10 + 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. 3 + 4z + -6z = -10 + 6z + -6z Combine like terms: 4z + -6z = -2z 3 + -2z = -10 + 6z + -6z Combine like terms: 6z + -6z = 0 3 + -2z = -10 + 0 3 + -2z = -10 Add '-3' to each side of the equation. 3 + -3 + -2z = -10 + -3 Combine like terms: 3 + -3 = 0 0 + -2z = -10 + -3 -2z = -10 + -3 Combine like terms: -10 + -3 = -13 -2z = -13 Divide each side by '-2'. z = 6.5 Simplifying z = 6.5
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