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Simplifying -4(z + 7) + -1(-2z + -9) = -3z Reorder the terms: -4(7 + z) + -1(-2z + -9) = -3z (7 * -4 + z * -4) + -1(-2z + -9) = -3z (-28 + -4z) + -1(-2z + -9) = -3z Reorder the terms: -28 + -4z + -1(-9 + -2z) = -3z -28 + -4z + (-9 * -1 + -2z * -1) = -3z -28 + -4z + (9 + 2z) = -3z Reorder the terms: -28 + 9 + -4z + 2z = -3z Combine like terms: -28 + 9 = -19 -19 + -4z + 2z = -3z Combine like terms: -4z + 2z = -2z -19 + -2z = -3z Solving -19 + -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. -19 + -2z + 3z = -3z + 3z Combine like terms: -2z + 3z = 1z -19 + 1z = -3z + 3z Combine like terms: -3z + 3z = 0 -19 + 1z = 0 Add '19' to each side of the equation. -19 + 19 + 1z = 0 + 19 Combine like terms: -19 + 19 = 0 0 + 1z = 0 + 19 1z = 0 + 19 Combine like terms: 0 + 19 = 19 1z = 19 Divide each side by '1'. z = 19 Simplifying z = 19
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