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Simplifying 2(z + -2) + -5 = 3z + -21 Reorder the terms: 2(-2 + z) + -5 = 3z + -21 (-2 * 2 + z * 2) + -5 = 3z + -21 (-4 + 2z) + -5 = 3z + -21 Reorder the terms: -4 + -5 + 2z = 3z + -21 Combine like terms: -4 + -5 = -9 -9 + 2z = 3z + -21 Reorder the terms: -9 + 2z = -21 + 3z Solving -9 + 2z = -21 + 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. -9 + 2z + -3z = -21 + 3z + -3z Combine like terms: 2z + -3z = -1z -9 + -1z = -21 + 3z + -3z Combine like terms: 3z + -3z = 0 -9 + -1z = -21 + 0 -9 + -1z = -21 Add '9' to each side of the equation. -9 + 9 + -1z = -21 + 9 Combine like terms: -9 + 9 = 0 0 + -1z = -21 + 9 -1z = -21 + 9 Combine like terms: -21 + 9 = -12 -1z = -12 Divide each side by '-1'. z = 12 Simplifying z = 12
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