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Simplifying -5(z + 3) + -1(3 + 5z) = -11z Reorder the terms: -5(3 + z) + -1(3 + 5z) = -11z (3 * -5 + z * -5) + -1(3 + 5z) = -11z (-15 + -5z) + -1(3 + 5z) = -11z -15 + -5z + (3 * -1 + 5z * -1) = -11z -15 + -5z + (-3 + -5z) = -11z Reorder the terms: -15 + -3 + -5z + -5z = -11z Combine like terms: -15 + -3 = -18 -18 + -5z + -5z = -11z Combine like terms: -5z + -5z = -10z -18 + -10z = -11z Solving -18 + -10z = -11z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '11z' to each side of the equation. -18 + -10z + 11z = -11z + 11z Combine like terms: -10z + 11z = 1z -18 + 1z = -11z + 11z Combine like terms: -11z + 11z = 0 -18 + 1z = 0 Add '18' to each side of the equation. -18 + 18 + 1z = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 1z = 0 + 18 1z = 0 + 18 Combine like terms: 0 + 18 = 18 1z = 18 Divide each side by '1'. z = 18 Simplifying z = 18
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