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Simplifying 1 + -7(-1z + 3) = -2(-9z + -6) + -3 Reorder the terms: 1 + -7(3 + -1z) = -2(-9z + -6) + -3 1 + (3 * -7 + -1z * -7) = -2(-9z + -6) + -3 1 + (-21 + 7z) = -2(-9z + -6) + -3 Combine like terms: 1 + -21 = -20 -20 + 7z = -2(-9z + -6) + -3 Reorder the terms: -20 + 7z = -2(-6 + -9z) + -3 -20 + 7z = (-6 * -2 + -9z * -2) + -3 -20 + 7z = (12 + 18z) + -3 Reorder the terms: -20 + 7z = 12 + -3 + 18z Combine like terms: 12 + -3 = 9 -20 + 7z = 9 + 18z Solving -20 + 7z = 9 + 18z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-18z' to each side of the equation. -20 + 7z + -18z = 9 + 18z + -18z Combine like terms: 7z + -18z = -11z -20 + -11z = 9 + 18z + -18z Combine like terms: 18z + -18z = 0 -20 + -11z = 9 + 0 -20 + -11z = 9 Add '20' to each side of the equation. -20 + 20 + -11z = 9 + 20 Combine like terms: -20 + 20 = 0 0 + -11z = 9 + 20 -11z = 9 + 20 Combine like terms: 9 + 20 = 29 -11z = 29 Divide each side by '-11'. z = -2.636363636 Simplifying z = -2.636363636
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