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Simplifying 3(8 + -2) + -36 = 21z + -4(3 + 6z) Combine like terms: 8 + -2 = 6 3(6) + -36 = 21z + -4(3 + 6z) Multiply 3 * 6 18 + -36 = 21z + -4(3 + 6z) Combine like terms: 18 + -36 = -18 -18 = 21z + -4(3 + 6z) -18 = 21z + (3 * -4 + 6z * -4) -18 = 21z + (-12 + -24z) Reorder the terms: -18 = -12 + 21z + -24z Combine like terms: 21z + -24z = -3z -18 = -12 + -3z Solving -18 = -12 + -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. -18 + 3z = -12 + -3z + 3z Combine like terms: -3z + 3z = 0 -18 + 3z = -12 + 0 -18 + 3z = -12 Add '18' to each side of the equation. -18 + 18 + 3z = -12 + 18 Combine like terms: -18 + 18 = 0 0 + 3z = -12 + 18 3z = -12 + 18 Combine like terms: -12 + 18 = 6 3z = 6 Divide each side by '3'. z = 2 Simplifying z = 2
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