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Simplifying 5 + -3z = 4 + -2(z + 3) Reorder the terms: 5 + -3z = 4 + -2(3 + z) 5 + -3z = 4 + (3 * -2 + z * -2) 5 + -3z = 4 + (-6 + -2z) Combine like terms: 4 + -6 = -2 5 + -3z = -2 + -2z Solving 5 + -3z = -2 + -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. 5 + -3z + 2z = -2 + -2z + 2z Combine like terms: -3z + 2z = -1z 5 + -1z = -2 + -2z + 2z Combine like terms: -2z + 2z = 0 5 + -1z = -2 + 0 5 + -1z = -2 Add '-5' to each side of the equation. 5 + -5 + -1z = -2 + -5 Combine like terms: 5 + -5 = 0 0 + -1z = -2 + -5 -1z = -2 + -5 Combine like terms: -2 + -5 = -7 -1z = -7 Divide each side by '-1'. z = 7 Simplifying z = 7
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