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Simplifying 3(-6) + -8z = -2 + 5(2z + 1) Multiply 3 * -6 -18 + -8z = -2 + 5(2z + 1) Reorder the terms: -18 + -8z = -2 + 5(1 + 2z) -18 + -8z = -2 + (1 * 5 + 2z * 5) -18 + -8z = -2 + (5 + 10z) Combine like terms: -2 + 5 = 3 -18 + -8z = 3 + 10z Solving -18 + -8z = 3 + 10z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-10z' to each side of the equation. -18 + -8z + -10z = 3 + 10z + -10z Combine like terms: -8z + -10z = -18z -18 + -18z = 3 + 10z + -10z Combine like terms: 10z + -10z = 0 -18 + -18z = 3 + 0 -18 + -18z = 3 Add '18' to each side of the equation. -18 + 18 + -18z = 3 + 18 Combine like terms: -18 + 18 = 0 0 + -18z = 3 + 18 -18z = 3 + 18 Combine like terms: 3 + 18 = 21 -18z = 21 Divide each side by '-18'. z = -1.166666667 Simplifying z = -1.166666667
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