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Simplifying 3(9 + -1z) + -45 = 21z + -6(3 + 4) * z (9 * 3 + -1z * 3) + -45 = 21z + -6(3 + 4) * z (27 + -3z) + -45 = 21z + -6(3 + 4) * z Reorder the terms: 27 + -45 + -3z = 21z + -6(3 + 4) * z Combine like terms: 27 + -45 = -18 -18 + -3z = 21z + -6(3 + 4) * z Combine like terms: 3 + 4 = 7 -18 + -3z = 21z + -6(7) * z Multiply -6 * 7 -18 + -3z = 21z + -42z Combine like terms: 21z + -42z = -21z -18 + -3z = -21z Solving -18 + -3z = -21z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '21z' to each side of the equation. -18 + -3z + 21z = -21z + 21z Combine like terms: -3z + 21z = 18z -18 + 18z = -21z + 21z Combine like terms: -21z + 21z = 0 -18 + 18z = 0 Add '18' to each side of the equation. -18 + 18 + 18z = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 18z = 0 + 18 18z = 0 + 18 Combine like terms: 0 + 18 = 18 18z = 18 Divide each side by '18'. z = 1 Simplifying z = 1
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