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Simplifying 6(3z + -3) = -19(2 + -1z) Reorder the terms: 6(-3 + 3z) = -19(2 + -1z) (-3 * 6 + 3z * 6) = -19(2 + -1z) (-18 + 18z) = -19(2 + -1z) -18 + 18z = (2 * -19 + -1z * -19) -18 + 18z = (-38 + 19z) Solving -18 + 18z = -38 + 19z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-19z' to each side of the equation. -18 + 18z + -19z = -38 + 19z + -19z Combine like terms: 18z + -19z = -1z -18 + -1z = -38 + 19z + -19z Combine like terms: 19z + -19z = 0 -18 + -1z = -38 + 0 -18 + -1z = -38 Add '18' to each side of the equation. -18 + 18 + -1z = -38 + 18 Combine like terms: -18 + 18 = 0 0 + -1z = -38 + 18 -1z = -38 + 18 Combine like terms: -38 + 18 = -20 -1z = -20 Divide each side by '-1'. z = 20 Simplifying z = 20
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