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Simplifying 6(19z + -3) = 12(10z + -20) Reorder the terms: 6(-3 + 19z) = 12(10z + -20) (-3 * 6 + 19z * 6) = 12(10z + -20) (-18 + 114z) = 12(10z + -20) Reorder the terms: -18 + 114z = 12(-20 + 10z) -18 + 114z = (-20 * 12 + 10z * 12) -18 + 114z = (-240 + 120z) Solving -18 + 114z = -240 + 120z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-120z' to each side of the equation. -18 + 114z + -120z = -240 + 120z + -120z Combine like terms: 114z + -120z = -6z -18 + -6z = -240 + 120z + -120z Combine like terms: 120z + -120z = 0 -18 + -6z = -240 + 0 -18 + -6z = -240 Add '18' to each side of the equation. -18 + 18 + -6z = -240 + 18 Combine like terms: -18 + 18 = 0 0 + -6z = -240 + 18 -6z = -240 + 18 Combine like terms: -240 + 18 = -222 -6z = -222 Divide each side by '-6'. z = 37 Simplifying z = 37
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