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Simplifying 2(z + -21) = 26 + -3(z + -4) Reorder the terms: 2(-21 + z) = 26 + -3(z + -4) (-21 * 2 + z * 2) = 26 + -3(z + -4) (-42 + 2z) = 26 + -3(z + -4) Reorder the terms: -42 + 2z = 26 + -3(-4 + z) -42 + 2z = 26 + (-4 * -3 + z * -3) -42 + 2z = 26 + (12 + -3z) Combine like terms: 26 + 12 = 38 -42 + 2z = 38 + -3z Solving -42 + 2z = 38 + -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. -42 + 2z + 3z = 38 + -3z + 3z Combine like terms: 2z + 3z = 5z -42 + 5z = 38 + -3z + 3z Combine like terms: -3z + 3z = 0 -42 + 5z = 38 + 0 -42 + 5z = 38 Add '42' to each side of the equation. -42 + 42 + 5z = 38 + 42 Combine like terms: -42 + 42 = 0 0 + 5z = 38 + 42 5z = 38 + 42 Combine like terms: 38 + 42 = 80 5z = 80 Divide each side by '5'. z = 16 Simplifying z = 16
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