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Simplifying -5(z + 3) + -1(3 + 5z) = -1 Reorder the terms: -5(3 + z) + -1(3 + 5z) = -1 (3 * -5 + z * -5) + -1(3 + 5z) = -1 (-15 + -5z) + -1(3 + 5z) = -1 -15 + -5z + (3 * -1 + 5z * -1) = -1 -15 + -5z + (-3 + -5z) = -1 Reorder the terms: -15 + -3 + -5z + -5z = -1 Combine like terms: -15 + -3 = -18 -18 + -5z + -5z = -1 Combine like terms: -5z + -5z = -10z -18 + -10z = -1 Solving -18 + -10z = -1 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -10z = -1 + 18 Combine like terms: -18 + 18 = 0 0 + -10z = -1 + 18 -10z = -1 + 18 Combine like terms: -1 + 18 = 17 -10z = 17 Divide each side by '-10'. z = -1.7 Simplifying z = -1.7
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