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Simplifying 2(z + -9) + -1(4z + -7) = -3z Reorder the terms: 2(-9 + z) + -1(4z + -7) = -3z (-9 * 2 + z * 2) + -1(4z + -7) = -3z (-18 + 2z) + -1(4z + -7) = -3z Reorder the terms: -18 + 2z + -1(-7 + 4z) = -3z -18 + 2z + (-7 * -1 + 4z * -1) = -3z -18 + 2z + (7 + -4z) = -3z Reorder the terms: -18 + 7 + 2z + -4z = -3z Combine like terms: -18 + 7 = -11 -11 + 2z + -4z = -3z Combine like terms: 2z + -4z = -2z -11 + -2z = -3z Solving -11 + -2z = -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. -11 + -2z + 3z = -3z + 3z Combine like terms: -2z + 3z = 1z -11 + 1z = -3z + 3z Combine like terms: -3z + 3z = 0 -11 + 1z = 0 Add '11' to each side of the equation. -11 + 11 + 1z = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 1z = 0 + 11 1z = 0 + 11 Combine like terms: 0 + 11 = 11 1z = 11 Divide each side by '1'. z = 11 Simplifying z = 11
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